\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Find all local maximum and minimums of the graph. Approximate as needed.
The graph will have local maximum if it changes from increasing to decreasing and a local minimum if it changes from decreasing to increaing. The graph has a local maximum at \(\displaystyle (-5.8,22.6)\). The graph has a local minimum at \(\displaystyle (-2, -1)\).
\begin{tikzpicture}[scale=.4, font=\Large]
\draw[very thick, color=blue, opacity=0.3, xstep=1, ystep=1] (-10,-10) grid (10,23);
\draw[latex-latex, very thick] (-10.4,0)--(10.4,0) node[right]{$x$};
\draw[latex-latex, very thick] (0,-10.4)--(0,23.4) node[above]{$y$};
\foreach \x in { -10,-8,...,10 }{
\pgfmathsetmacro{\xtick}{\x != 0 ? "\x" : ""}
\draw (\x, .2) -- (\x,-.2) node[below]{$\xtick$};
}
\foreach \y in { -10,-8,...,23 }{
\pgfmathsetmacro{\ytick}{\y != 0 ? "\y" : ""}
\draw (.2, \y) -- (-.2, \y) node[left]{$\ytick$};
}
\draw[thick, color=blue, domain={-10.0}:{-2.0}, color=red, very thick,latex-, samples =350] plot(\x, {-13*(\x)^2/8 - 151*(\x)/8 - 129/4});
\draw[very thick, color=red,-latex] (-2, -1) -- (6, 2) --(10, 9);
\end{tikzpicture}
\begin{question}Find all local maximum and minimums of the graph. Approximate as needed.\newline\begin{tikzpicture}[scale=.4, font=\Large]
\draw[very thick, color=blue, opacity=0.3, xstep=1, ystep=1] (-10,-10) grid (10,23);
\draw[latex-latex, very thick] (-10.4,0)--(10.4,0) node[right]{$x$};
\draw[latex-latex, very thick] (0,-10.4)--(0,23.4) node[above]{$y$};
\foreach \x in { -10,-8,...,10 }{
\pgfmathsetmacro{\xtick}{\x != 0 ? "\x" : ""}
\draw (\x, .2) -- (\x,-.2) node[below]{$\xtick$};
}
\foreach \y in { -10,-8,...,23 }{
\pgfmathsetmacro{\ytick}{\y != 0 ? "\y" : ""}
\draw (.2, \y) -- (-.2, \y) node[left]{$\ytick$};
}
\draw[thick, color=blue, domain={-10.0}:{-2.0}, color=red, very thick,latex-, samples =350] plot(\x, {-13*(\x)^2/8 - 151*(\x)/8 - 129/4});
\draw[very thick, color=red,-latex] (-2, -1) -- (6, 2) --(10, 9);
\end{tikzpicture}
\soln{0cm}{The graph will have local maximum if it changes from increasing to decreasing and a local minimum if it changes from decreasing to increaing. The graph has a local maximum at $(-5.8,22.6)$. The graph has a local minimum at $(-2, -1)$. }
\end{question}
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}
\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}
\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}
\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue
\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Find all local maximum and minimums of the graph. Approximate as needed.<br><?xml version="1.0" encoding="UTF-8"?>
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="262.448pt" height="403.449pt" viewBox="0 0 262.448 403.449" version="1.1">
<defs>
<g>
<symbol overflow="visible" id="glyph0-0">
<path style="stroke:none;" d=""/>
</symbol>
<symbol overflow="visible" id="glyph0-1">
<path style="stroke:none;" d="M 6.796875 -5.859375 C 6.34375 -5.765625 6.171875 -5.421875 6.171875 -5.15625 C 6.171875 -4.8125 6.4375 -4.6875 6.640625 -4.6875 C 7.078125 -4.6875 7.375 -5.0625 7.375 -5.453125 C 7.375 -6.046875 6.6875 -6.328125 6.078125 -6.328125 C 5.203125 -6.328125 4.71875 -5.46875 4.59375 -5.1875 C 4.265625 -6.265625 3.375 -6.328125 3.109375 -6.328125 C 1.65625 -6.328125 0.875 -4.453125 0.875 -4.125 C 0.875 -4.078125 0.9375 -4 1.03125 -4 C 1.140625 -4 1.171875 -4.09375 1.203125 -4.140625 C 1.6875 -5.734375 2.65625 -6.03125 3.0625 -6.03125 C 3.71875 -6.03125 3.84375 -5.4375 3.84375 -5.09375 C 3.84375 -4.78125 3.765625 -4.453125 3.578125 -3.765625 L 3.09375 -1.796875 C 2.890625 -0.9375 2.46875 -0.140625 1.703125 -0.140625 C 1.640625 -0.140625 1.28125 -0.140625 0.96875 -0.328125 C 1.484375 -0.4375 1.609375 -0.859375 1.609375 -1.03125 C 1.609375 -1.3125 1.390625 -1.484375 1.125 -1.484375 C 0.78125 -1.484375 0.40625 -1.1875 0.40625 -0.734375 C 0.40625 -0.125 1.078125 0.140625 1.6875 0.140625 C 2.375 0.140625 2.875 -0.40625 3.171875 -0.984375 C 3.40625 -0.140625 4.109375 0.140625 4.640625 0.140625 C 6.109375 0.140625 6.890625 -1.734375 6.890625 -2.046875 C 6.890625 -2.125 6.828125 -2.1875 6.734375 -2.1875 C 6.609375 -2.1875 6.59375 -2.109375 6.5625 -2 C 6.171875 -0.734375 5.328125 -0.140625 4.6875 -0.140625 C 4.1875 -0.140625 3.921875 -0.515625 3.921875 -1.109375 C 3.921875 -1.421875 3.96875 -1.65625 4.203125 -2.59375 L 4.703125 -4.546875 C 4.921875 -5.40625 5.40625 -6.03125 6.0625 -6.03125 C 6.09375 -6.03125 6.5 -6.03125 6.796875 -5.859375 Z M 6.796875 -5.859375 "/>
</symbol>
<symbol overflow="visible" id="glyph0-2">
<path style="stroke:none;" d="M 3.765625 1.609375 C 3.390625 2.15625 2.828125 2.640625 2.125 2.640625 C 1.953125 2.640625 1.265625 2.609375 1.046875 1.953125 C 1.09375 1.96875 1.15625 1.96875 1.1875 1.96875 C 1.625 1.96875 1.90625 1.59375 1.90625 1.265625 C 1.90625 0.9375 1.640625 0.8125 1.421875 0.8125 C 1.1875 0.8125 0.6875 0.984375 0.6875 1.6875 C 0.6875 2.421875 1.3125 2.921875 2.125 2.921875 C 3.5625 2.921875 5 1.609375 5.40625 0.015625 L 6.8125 -5.578125 C 6.828125 -5.65625 6.859375 -5.734375 6.859375 -5.828125 C 6.859375 -6.03125 6.6875 -6.1875 6.46875 -6.1875 C 6.34375 -6.1875 6.03125 -6.125 5.921875 -5.6875 L 4.859375 -1.484375 C 4.796875 -1.21875 4.796875 -1.1875 4.671875 -1.03125 C 4.390625 -0.625 3.921875 -0.140625 3.234375 -0.140625 C 2.421875 -0.140625 2.359375 -0.9375 2.359375 -1.3125 C 2.359375 -2.140625 2.734375 -3.234375 3.125 -4.28125 C 3.28125 -4.6875 3.375 -4.890625 3.375 -5.171875 C 3.375 -5.78125 2.9375 -6.328125 2.234375 -6.328125 C 0.921875 -6.328125 0.390625 -4.25 0.390625 -4.125 C 0.390625 -4.078125 0.4375 -4 0.546875 -4 C 0.671875 -4 0.6875 -4.0625 0.75 -4.265625 C 1.09375 -5.46875 1.640625 -6.03125 2.1875 -6.03125 C 2.328125 -6.03125 2.5625 -6.03125 2.5625 -5.5625 C 2.5625 -5.1875 2.40625 -4.78125 2.1875 -4.234375 C 1.484375 -2.359375 1.484375 -1.875 1.484375 -1.53125 C 1.484375 -0.171875 2.46875 0.140625 3.1875 0.140625 C 3.59375 0.140625 4.109375 0.015625 4.625 -0.515625 L 4.640625 -0.5 C 4.421875 0.34375 4.28125 0.90625 3.765625 1.609375 Z M 3.765625 1.609375 "/>
</symbol>
<symbol overflow="visible" id="glyph1-0">
<path style="stroke:none;" d=""/>
</symbol>
<symbol overflow="visible" id="glyph1-1">
<path style="stroke:none;" d="M 9.453125 -3.296875 C 9.703125 -3.296875 9.953125 -3.296875 9.953125 -3.578125 C 9.953125 -3.875 9.703125 -3.875 9.453125 -3.875 L 1.6875 -3.875 C 1.453125 -3.875 1.1875 -3.875 1.1875 -3.578125 C 1.1875 -3.296875 1.453125 -3.296875 1.6875 -3.296875 Z M 9.453125 -3.296875 "/>
</symbol>
<symbol overflow="visible" id="glyph2-0">
<path style="stroke:none;" d=""/>
</symbol>
<symbol overflow="visible" id="glyph2-1">
<path style="stroke:none;" d="M 4.125 -9.1875 C 4.125 -9.53125 4.125 -9.53125 3.84375 -9.53125 C 3.5 -9.15625 2.78125 -8.625 1.3125 -8.625 L 1.3125 -8.203125 C 1.640625 -8.203125 2.359375 -8.203125 3.140625 -8.578125 L 3.140625 -1.109375 C 3.140625 -0.59375 3.09375 -0.421875 1.84375 -0.421875 L 1.390625 -0.421875 L 1.390625 0 C 1.78125 -0.03125 3.171875 -0.03125 3.640625 -0.03125 C 4.109375 -0.03125 5.5 -0.03125 5.875 0 L 5.875 -0.421875 L 5.4375 -0.421875 C 4.171875 -0.421875 4.125 -0.59375 4.125 -1.109375 Z M 4.125 -9.1875 "/>
</symbol>
<symbol overflow="visible" id="glyph2-2">
<path style="stroke:none;" d="M 6.421875 -4.59375 C 6.421875 -5.78125 6.359375 -6.9375 5.84375 -8.03125 C 5.25 -9.21875 4.21875 -9.53125 3.515625 -9.53125 C 2.6875 -9.53125 1.65625 -9.125 1.140625 -7.9375 C 0.734375 -7.03125 0.59375 -6.140625 0.59375 -4.59375 C 0.59375 -3.203125 0.6875 -2.15625 1.203125 -1.140625 C 1.765625 -0.046875 2.75 0.296875 3.5 0.296875 C 4.75 0.296875 5.46875 -0.4375 5.875 -1.28125 C 6.390625 -2.359375 6.421875 -3.765625 6.421875 -4.59375 Z M 3.5 0.015625 C 3.046875 0.015625 2.109375 -0.25 1.84375 -1.8125 C 1.671875 -2.671875 1.671875 -3.765625 1.671875 -4.765625 C 1.671875 -5.9375 1.671875 -7 1.90625 -7.84375 C 2.15625 -8.8125 2.890625 -9.25 3.5 -9.25 C 4.046875 -9.25 4.875 -8.921875 5.15625 -7.6875 C 5.328125 -6.875 5.328125 -5.734375 5.328125 -4.765625 C 5.328125 -3.796875 5.328125 -2.71875 5.171875 -1.84375 C 4.90625 -0.265625 4 0.015625 3.5 0.015625 Z M 3.5 0.015625 "/>
</symbol>
<symbol overflow="visible" id="glyph2-3">
<path style="stroke:none;" d="M 4.28125 -5.171875 C 4.984375 -5.5625 6.03125 -6.21875 6.03125 -7.4375 C 6.03125 -8.671875 4.828125 -9.53125 3.515625 -9.53125 C 2.09375 -9.53125 0.96875 -8.484375 0.96875 -7.1875 C 0.96875 -6.703125 1.125 -6.203125 1.515625 -5.71875 C 1.671875 -5.53125 1.6875 -5.515625 2.703125 -4.8125 C 1.3125 -4.171875 0.59375 -3.21875 0.59375 -2.171875 C 0.59375 -0.640625 2.03125 0.296875 3.5 0.296875 C 5.09375 0.296875 6.421875 -0.875 6.421875 -2.375 C 6.421875 -3.84375 5.390625 -4.484375 4.28125 -5.171875 Z M 2.328125 -6.46875 C 2.140625 -6.59375 1.5625 -6.96875 1.5625 -7.671875 C 1.5625 -8.609375 2.53125 -9.1875 3.5 -9.1875 C 4.53125 -9.1875 5.453125 -8.453125 5.453125 -7.421875 C 5.453125 -6.546875 4.8125 -5.84375 3.984375 -5.375 Z M 3 -4.625 L 4.734375 -3.484375 C 5.109375 -3.234375 5.765625 -2.796875 5.765625 -1.921875 C 5.765625 -0.828125 4.65625 -0.09375 3.515625 -0.09375 C 2.296875 -0.09375 1.25 -0.96875 1.25 -2.171875 C 1.25 -3.28125 2.0625 -4.1875 3 -4.625 Z M 3 -4.625 "/>
</symbol>
<symbol overflow="visible" id="glyph2-4">
<path style="stroke:none;" d="M 1.765625 -4.984375 C 1.765625 -8.625 3.53125 -9.1875 4.296875 -9.1875 C 4.8125 -9.1875 5.328125 -9.03125 5.609375 -8.609375 C 5.4375 -8.609375 4.890625 -8.609375 4.890625 -8.015625 C 4.890625 -7.703125 5.109375 -7.4375 5.484375 -7.4375 C 5.84375 -7.4375 6.078125 -7.640625 6.078125 -8.0625 C 6.078125 -8.8125 5.53125 -9.53125 4.28125 -9.53125 C 2.484375 -9.53125 0.59375 -7.6875 0.59375 -4.53125 C 0.59375 -0.59375 2.3125 0.296875 3.53125 0.296875 C 5.09375 0.296875 6.421875 -1.0625 6.421875 -2.921875 C 6.421875 -4.828125 5.09375 -6.109375 3.65625 -6.109375 C 2.375 -6.109375 1.90625 -5 1.765625 -4.609375 Z M 3.53125 -0.09375 C 2.625 -0.09375 2.1875 -0.890625 2.0625 -1.1875 C 1.9375 -1.5625 1.796875 -2.265625 1.796875 -3.265625 C 1.796875 -4.40625 2.3125 -5.828125 3.59375 -5.828125 C 4.390625 -5.828125 4.8125 -5.296875 5.015625 -4.8125 C 5.25 -4.28125 5.25 -3.5625 5.25 -2.9375 C 5.25 -2.203125 5.25 -1.5625 4.984375 -1.015625 C 4.625 -0.328125 4.109375 -0.09375 3.53125 -0.09375 Z M 3.53125 -0.09375 "/>
</symbol>
<symbol overflow="visible" id="glyph2-5">
<path style="stroke:none;" d="M 5.171875 -9.34375 C 5.171875 -9.609375 5.171875 -9.6875 4.984375 -9.6875 C 4.859375 -9.6875 4.8125 -9.6875 4.703125 -9.515625 L 0.390625 -2.8125 L 0.390625 -2.390625 L 4.15625 -2.390625 L 4.15625 -1.09375 C 4.15625 -0.5625 4.125 -0.421875 3.078125 -0.421875 L 2.796875 -0.421875 L 2.796875 0 C 3.125 -0.03125 4.265625 -0.03125 4.65625 -0.03125 C 5.0625 -0.03125 6.203125 -0.03125 6.546875 0 L 6.546875 -0.421875 L 6.25 -0.421875 C 5.21875 -0.421875 5.171875 -0.5625 5.171875 -1.09375 L 5.171875 -2.390625 L 6.625 -2.390625 L 6.625 -2.8125 L 5.171875 -2.8125 Z M 4.234375 -8.21875 L 4.234375 -2.8125 L 0.75 -2.8125 Z M 4.234375 -8.21875 "/>
</symbol>
<symbol overflow="visible" id="glyph2-6">
<path style="stroke:none;" d="M 6.3125 -2.40625 L 6 -2.40625 C 5.953125 -2.171875 5.84375 -1.375 5.6875 -1.140625 C 5.59375 -1.015625 4.78125 -1.015625 4.34375 -1.015625 L 1.6875 -1.015625 C 2.078125 -1.34375 2.953125 -2.265625 3.328125 -2.609375 C 5.515625 -4.625 6.3125 -5.359375 6.3125 -6.78125 C 6.3125 -8.4375 5 -9.53125 3.34375 -9.53125 C 1.671875 -9.53125 0.703125 -8.125 0.703125 -6.890625 C 0.703125 -6.15625 1.328125 -6.15625 1.375 -6.15625 C 1.671875 -6.15625 2.046875 -6.375 2.046875 -6.828125 C 2.046875 -7.234375 1.78125 -7.5 1.375 -7.5 C 1.25 -7.5 1.21875 -7.5 1.171875 -7.484375 C 1.453125 -8.46875 2.21875 -9.125 3.15625 -9.125 C 4.375 -9.125 5.125 -8.109375 5.125 -6.78125 C 5.125 -5.5625 4.421875 -4.5 3.59375 -3.578125 L 0.703125 -0.34375 L 0.703125 0 L 5.9375 0 Z M 6.3125 -2.40625 "/>
</symbol>
</g>
</defs>
<g id="surface1">
<path style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,100%);stroke-opacity:0.3;stroke-miterlimit:10;" d="M -113.385125 -113.386156 L 113.384406 -113.386156 M -113.385125 -102.046312 L 113.384406 -102.046312 M -113.385125 -90.706469 L 113.384406 -90.706469 M -113.385125 -79.370531 L 113.384406 -79.370531 M -113.385125 -68.030687 L 113.384406 -68.030687 M -113.385125 -56.690844 L 113.384406 -56.690844 M -113.385125 -45.354906 L 113.384406 -45.354906 M -113.385125 -34.015062 L 113.384406 -34.015062 M -113.385125 -22.675219 L 113.384406 -22.675219 M -113.385125 -11.339281 L 113.384406 -11.339281 M -113.385125 0.0005625 L 113.384406 0.0005625 M -113.385125 11.340406 L 113.384406 11.340406 M -113.385125 22.676344 L 113.384406 22.676344 M -113.385125 34.016188 L 113.384406 34.016188 M -113.385125 45.356031 L 113.384406 45.356031 M -113.385125 56.691969 L 113.384406 56.691969 M -113.385125 68.031813 L 113.384406 68.031813 M -113.385125 79.371656 L 113.384406 79.371656 M -113.385125 90.707594 L 113.384406 90.707594 M -113.385125 102.047438 L 113.384406 102.047438 M -113.385125 113.387281 L 113.384406 113.387281 M -113.385125 124.723219 L 113.384406 124.723219 M -113.385125 136.063063 L 113.384406 136.063063 M -113.385125 147.402906 L 113.384406 147.402906 M -113.385125 158.738844 L 113.384406 158.738844 M -113.385125 170.078688 L 113.384406 170.078688 M -113.385125 181.418531 L 113.384406 181.418531 M -113.385125 192.754469 L 113.384406 192.754469 M -113.385125 204.094313 L 113.384406 204.094313 M -113.385125 215.434156 L 113.384406 215.434156 M -113.385125 226.770094 L 113.384406 226.770094 M -113.385125 238.109938 L 113.384406 238.109938 M -113.385125 249.449781 L 113.384406 249.449781 M -113.385125 260.781813 L 113.384406 260.781813 M -113.385125 -113.386156 L -113.385125 260.785719 M -102.045281 -113.386156 L -102.045281 260.785719 M -90.709344 -113.386156 L -90.709344 260.785719 M -79.3695 -113.386156 L -79.3695 260.785719 M -68.029656 -113.386156 L -68.029656 260.785719 M -56.693719 -113.386156 L -56.693719 260.785719 M -45.353875 -113.386156 L -45.353875 260.785719 M -34.014031 -113.386156 L -34.014031 260.785719 M -22.678094 -113.386156 L -22.678094 260.785719 M -11.33825 -113.386156 L -11.33825 260.785719 M 0.00159375 -113.386156 L 0.00159375 260.785719 M 11.337531 -113.386156 L 11.337531 260.785719 M 22.677375 -113.386156 L 22.677375 260.785719 M 34.017219 -113.386156 L 34.017219 260.785719 M 45.353156 -113.386156 L 45.353156 260.785719 M 56.693 -113.386156 L 56.693 260.785719 M 68.032844 -113.386156 L 68.032844 260.785719 M 79.368781 -113.386156 L 79.368781 260.785719 M 90.708625 -113.386156 L 90.708625 260.785719 M 102.048469 -113.386156 L 102.048469 260.785719 M 113.3805 -113.386156 L 113.3805 260.785719 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -112.182 0.0005625 L 112.181281 0.0005625 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style=" stroke:none;fill-rule:nonzero;fill:rgb(0%,0%,0%);fill-opacity:1;" d="M 11.386719 281.523438 C 13.085938 281.84375 15.847656 282.800781 17.761719 283.914062 L 17.761719 279.132812 C 15.847656 280.25 13.085938 281.207031 11.386719 281.523438 "/>
<path style=" stroke:none;fill-rule:nonzero;fill:rgb(0%,0%,0%);fill-opacity:1;" d="M 247.226562 281.523438 C 245.527344 281.207031 242.765625 280.25 240.851562 279.132812 L 240.851562 283.914062 C 242.765625 282.800781 245.527344 281.84375 247.226562 281.523438 "/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph0-1" x="251.145" y="284.612"/>
</g>
<path style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 0.00159375 -112.183031 L 0.00159375 259.582594 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style=" stroke:none;fill-rule:nonzero;fill:rgb(0%,0%,0%);fill-opacity:1;" d="M 129.308594 399.445312 C 129.625 397.746094 130.582031 394.980469 131.699219 393.070312 L 126.914062 393.070312 C 128.03125 394.980469 128.988281 397.746094 129.308594 399.445312 "/>
<path style=" stroke:none;fill-rule:nonzero;fill:rgb(0%,0%,0%);fill-opacity:1;" d="M 129.308594 16.203125 C 128.988281 17.902344 128.03125 20.664062 126.914062 22.578125 L 131.699219 22.578125 C 130.582031 20.664062 129.625 17.902344 129.308594 16.203125 "/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph0-2" x="125.625" y="9.498"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -113.385125 2.266188 L -113.385125 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="3.32" y="296.557"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="14.479" y="296.557"/>
<use xlink:href="#glyph2-2" x="21.5029" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -90.709344 2.266188 L -90.709344 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="29.509" y="296.557"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-3" x="40.667" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -68.029656 2.266188 L -68.029656 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="52.186" y="296.557"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-4" x="63.344" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -45.353875 2.266188 L -45.353875 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="74.863" y="296.557"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-5" x="86.021" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -22.678094 2.266188 L -22.678094 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="97.54" y="296.557"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-6" x="108.698" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 0.00159375 2.266188 L 0.00159375 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 22.677375 2.266188 L 22.677375 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-6" x="148.472" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 45.353156 2.266188 L 45.353156 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-5" x="171.149" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 68.032844 2.266188 L 68.032844 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-4" x="193.826" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 90.708625 2.266188 L 90.708625 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-3" x="216.503" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 113.384406 2.266188 L 113.384406 -2.268969 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="235.668" y="296.557"/>
<use xlink:href="#glyph2-2" x="242.6919" y="296.557"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 -113.386156 L -2.267938 -113.386156 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="98.314" y="398.933"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="109.473" y="398.933"/>
<use xlink:href="#glyph2-2" x="116.4969" y="398.933"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 -90.706469 L -2.267938 -90.706469 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="105.338" y="376.256"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-3" x="116.496" y="376.256"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 -68.030687 L -2.267938 -68.030687 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="105.338" y="353.579"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-4" x="116.496" y="353.579"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 -45.354906 L -2.267938 -45.354906 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="105.338" y="330.903"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-5" x="116.496" y="330.903"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 -22.675219 L -2.267938 -22.675219 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph1-1" x="105.338" y="308.226"/>
</g>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-6" x="116.496" y="308.226"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 0.0005625 L -2.267938 0.0005625 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 22.676344 L -2.267938 22.676344 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-6" x="116.496" y="263.47"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 45.356031 L -2.267938 45.356031 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-5" x="116.496" y="240.793"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 68.031813 L -2.267938 68.031813 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-4" x="116.496" y="218.116"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 90.707594 L -2.267938 90.707594 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-3" x="116.496" y="195.439"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 113.387281 L -2.267938 113.387281 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="109.473" y="172.763"/>
<use xlink:href="#glyph2-2" x="116.4969" y="172.763"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 136.063063 L -2.267938 136.063063 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="109.473" y="150.086"/>
<use xlink:href="#glyph2-6" x="116.4969" y="150.086"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 158.738844 L -2.267938 158.738844 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="109.473" y="127.409"/>
<use xlink:href="#glyph2-5" x="116.4969" y="127.409"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 181.418531 L -2.267938 181.418531 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="109.473" y="104.732"/>
<use xlink:href="#glyph2-4" x="116.4969" y="104.732"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 204.094313 L -2.267938 204.094313 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-1" x="109.473" y="82.055"/>
<use xlink:href="#glyph2-3" x="116.4969" y="82.055"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 226.770094 L -2.267938 226.770094 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-6" x="109.473" y="59.379"/>
<use xlink:href="#glyph2-2" x="116.4969" y="59.379"/>
</g>
<path style="fill:none;stroke-width:0.3985;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M 2.267219 249.449781 L -2.267938 249.449781 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<g style="fill:rgb(0%,0%,0%);fill-opacity:1;">
<use xlink:href="#glyph2-6" x="109.473" y="36.702"/>
<use xlink:href="#glyph2-6" x="116.4969" y="36.702"/>
</g>
<path style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(100%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -112.96325 -62.308031 L -113.127313 -64.499437 L -112.865594 -60.987719 L -112.607781 -57.495531 L -112.346063 -54.022875 L -112.084344 -50.56975 L -111.826531 -47.136156 L -111.564813 -43.722094 L -111.307 -40.323656 L -111.045281 -36.948656 L -110.787469 -33.593187 L -110.52575 -30.253344 L -110.267938 -26.936937 L -110.006219 -23.640062 L -109.748406 -20.358812 L -109.486688 -17.097094 L -109.228875 -13.858812 L -108.967156 -10.636156 L -108.709344 -7.436937 L -108.447625 -4.253344 L -108.189813 -1.089281 L -107.928094 2.05525 L -107.670281 5.18025 L -107.408563 8.285719 L -107.146844 11.371656 L -106.889031 14.438063 L -106.627313 17.484938 L -106.3695 20.512281 L -106.107781 23.520094 L -105.849969 26.508375 L -105.58825 29.477125 L -105.330438 32.43025 L -105.068719 35.359938 L -104.810906 38.270094 L -104.549188 41.164625 L -104.291375 44.035719 L -104.029656 46.891188 L -103.771844 49.723219 L -103.510125 52.539625 L -103.252313 55.332594 L -102.990594 58.109938 L -102.732781 60.86775 L -102.471063 63.606031 L -102.21325 66.320875 L -101.951531 69.020094 L -101.689813 71.699781 L -101.432 74.359938 L -101.170281 77.000563 L -100.912469 79.621656 L -100.65075 82.223219 L -100.392938 84.80525 L -100.131219 87.36775 L -99.873406 89.914625 L -99.611688 92.438063 L -99.353875 94.941969 L -99.092156 97.43025 L -98.834344 99.895094 L -98.572625 102.340406 L -98.314813 104.770094 L -98.053094 107.176344 L -97.795281 109.566969 L -97.533563 111.938063 L -97.27575 114.285719 L -97.014031 116.61775 L -96.752313 118.93025 L -96.4945 121.223219 L -96.232781 123.49275 L -95.974969 125.746656 L -95.71325 127.981031 L -95.455438 130.195875 L -95.193719 132.391188 L -94.935906 134.566969 L -94.674188 136.723219 L -94.416375 138.863844 L -94.154656 140.981031 L -93.896844 143.078688 L -93.635125 145.156813 L -93.377313 147.219313 L -93.115594 149.258375 L -92.857781 151.277906 L -92.596063 153.281813 L -92.33825 155.262281 L -92.076531 157.227125 L -91.814813 159.172438 L -91.557 161.094313 L -91.295281 163.000563 L -91.037469 164.887281 L -90.77575 166.750563 L -90.517938 168.598219 L -90.256219 170.426344 L -89.998406 172.234938 L -89.736688 174.024 L -89.478875 175.793531 L -89.217156 177.543531 L -88.959344 179.274 L -88.697625 180.984938 L -88.439813 182.68025 L -88.178094 184.352125 L -87.920281 186.004469 L -87.658563 187.637281 L -87.40075 189.254469 L -87.139031 190.848219 L -86.881219 192.426344 L -86.6195 193.981031 L -86.357781 195.520094 L -86.099969 197.035719 L -85.83825 198.535719 L -85.580438 200.016188 L -85.318719 201.473219 L -85.060906 202.914625 L -84.799188 204.3365 L -84.541375 205.738844 L -84.279656 207.121656 L -84.021844 208.484938 L -83.760125 209.828688 L -83.502313 211.152906 L -83.240594 212.457594 L -82.982781 213.74275 L -82.721063 215.008375 L -82.46325 216.254469 L -82.201531 217.481031 L -81.943719 218.691969 L -81.682 219.879469 L -81.420281 221.051344 L -81.162469 222.199781 L -80.90075 223.328688 L -80.642938 224.441969 L -80.381219 225.535719 L -80.123406 226.606031 L -79.861688 227.660719 L -79.603875 228.695875 L -79.342156 229.707594 L -79.084344 230.703688 L -78.822625 231.68025 L -78.564813 232.637281 L -78.303094 233.574781 L -78.045281 234.49275 L -77.783563 235.391188 L -77.52575 236.270094 L -77.264031 237.129469 L -77.006219 237.969313 L -76.7445 238.789625 L -76.482781 239.594313 L -76.224969 240.375563 L -75.96325 241.137281 L -75.705438 241.883375 L -75.443719 242.606031 L -75.185906 243.313063 L -74.924188 243.996656 L -74.666375 244.664625 L -74.404656 245.309156 L -74.146844 245.938063 L -73.885125 246.547438 L -73.627313 247.133375 L -73.365594 247.703688 L -73.107781 248.254469 L -72.846063 248.785719 L -72.58825 249.297438 L -72.326531 249.789625 L -72.068719 250.262281 L -71.807 250.715406 L -71.549188 251.149 L -71.287469 251.563063 L -71.02575 251.957594 L -70.767938 252.332594 L -70.506219 252.691969 L -70.248406 253.027906 L -69.986688 253.344313 L -69.728875 253.645094 L -69.467156 253.922438 L -69.209344 254.184156 L -68.947625 254.422438 L -68.689813 254.645094 L -68.428094 254.848219 L -68.170281 255.027906 L -67.908563 255.191969 L -67.65075 255.3365 L -67.389031 255.457594 L -67.131219 255.563063 L -66.8695 255.649 L -66.611688 255.715406 L -66.349969 255.762281 L -66.08825 255.789625 L -65.830438 255.797438 L -65.568719 255.785719 L -65.310906 255.758375 L -65.049188 255.707594 L -64.791375 255.637281 L -64.529656 255.551344 L -64.271844 255.441969 L -64.010125 255.313063 L -63.752313 255.168531 L -63.490594 255.000563 L -63.232781 254.816969 L -62.971063 254.609938 L -62.71325 254.387281 L -62.451531 254.145094 L -62.193719 253.879469 L -61.932 253.598219 L -61.674188 253.297438 L -61.412469 252.977125 L -61.15075 252.637281 L -60.892938 252.274 L -60.631219 251.895094 L -60.373406 251.500563 L -60.111688 251.082594 L -59.853875 250.645094 L -59.592156 250.188063 L -59.334344 249.7115 L -59.072625 249.215406 L -58.814813 248.703688 L -58.553094 248.168531 L -58.295281 247.613844 L -58.033563 247.043531 L -57.77575 246.449781 L -57.514031 245.840406 L -57.256219 245.207594 L -56.9945 244.559156 L -56.736688 243.891188 L -56.474969 243.199781 L -56.217156 242.49275 L -55.955438 241.766188 L -55.693719 241.020094 L -55.435906 240.254469 L -55.174188 239.465406 L -54.916375 238.660719 L -54.654656 237.8365 L -54.396844 236.99275 L -54.135125 236.133375 L -53.877313 235.250563 L -53.615594 234.348219 L -53.357781 233.426344 L -53.096063 232.484938 L -52.83825 231.527906 L -52.576531 230.547438 L -52.318719 229.551344 L -52.057 228.531813 L -51.799188 227.49275 L -51.537469 226.438063 L -51.279656 225.363844 L -51.017938 224.266188 L -50.756219 223.152906 L -50.498406 222.020094 L -50.236688 220.863844 L -49.978875 219.691969 L -49.717156 218.500563 L -49.459344 217.289625 L -49.197625 216.059156 L -48.939813 214.809156 L -48.678094 213.539625 L -48.158563 210.941969 L -47.90075 209.613844 L -47.639031 208.270094 L -47.381219 206.902906 L -47.1195 205.516188 L -46.861688 204.113844 L -46.599969 202.688063 L -46.342156 201.24275 L -46.080438 199.781813 L -45.818719 198.301344 L -45.560906 196.797438 L -45.299188 195.277906 L -45.041375 193.734938 L -44.779656 192.176344 L -44.521844 190.598219 L -44.260125 189.000563 L -44.002313 187.379469 L -43.740594 185.74275 L -43.482781 184.0865 L -43.221063 182.410719 L -42.96325 180.715406 L -42.701531 179.000563 L -42.443719 177.266188 L -42.182 175.516188 L -41.924188 173.74275 L -41.662469 171.949781 L -41.404656 170.137281 L -41.142938 168.309156 L -40.885125 166.457594 L -40.623406 164.590406 L -40.361688 162.699781 L -40.103875 160.793531 L -39.842156 158.863844 L -39.584344 156.918531 L -39.322625 154.949781 L -39.064813 152.965406 L -38.803094 150.9615 L -38.545281 148.938063 L -38.283563 146.891188 L -38.02575 144.828688 L -37.764031 142.746656 L -37.506219 140.645094 L -37.2445 138.524 L -36.986688 136.383375 L -36.724969 134.223219 L -36.467156 132.047438 L -36.205438 129.848219 L -35.947625 127.629469 L -35.685906 125.391188 L -35.424188 123.137281 L -35.166375 120.859938 L -34.904656 118.563063 L -34.646844 116.250563 L -34.385125 113.914625 L -34.127313 111.563063 L -33.865594 109.191969 L -33.607781 106.797438 L -33.346063 104.387281 L -33.08825 101.957594 L -32.826531 99.504469 L -32.568719 97.035719 L -32.307 94.547438 L -32.049188 92.039625 L -31.787469 89.512281 L -31.529656 86.965406 L -31.267938 84.399 L -31.010125 81.813063 L -30.748406 79.207594 L -30.486688 76.582594 L -30.228875 73.941969 L -29.967156 71.277906 L -29.709344 68.594313 L -29.447625 65.895094 L -29.189813 63.172438 L -28.928094 60.43025 L -28.670281 57.672438 L -28.408563 54.891188 L -28.15075 52.094313 L -27.889031 49.277906 L -27.631219 46.438063 L -27.3695 43.582594 L -27.111688 40.707594 L -26.849969 37.813063 L -26.592156 34.895094 L -26.330438 31.9615 L -26.072625 29.008375 L -25.810906 26.035719 L -25.553094 23.043531 L -25.291375 20.031813 L -25.029656 17.000563 L -24.771844 13.953688 L -24.510125 10.883375 L -24.252313 7.793531 L -23.990594 4.684156 L -23.732781 1.559156 L -23.471063 -1.589281 L -23.21325 -4.753344 L -22.951531 -7.940844 L -22.693719 -11.147875 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style=" stroke:none;fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;" d="M 15.921875 349.554688 C 16.363281 347.882812 17.519531 345.199219 18.773438 343.371094 L 14.003906 343.019531 C 14.976562 345.011719 15.726562 347.835938 15.921875 349.554688 "/>
<path style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(100%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;" d="M -22.678094 -11.339281 L 68.032844 22.676344 L 110.53675 97.063063 " transform="matrix(1,0,0,-1,129.307,281.524)"/>
<path style=" stroke:none;fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;" d="M 242.691406 179.476562 C 241.570312 180.796875 239.371094 182.71875 237.453125 183.828125 L 241.605469 186.199219 C 241.585938 183.984375 242.125 181.113281 242.691406 179.476562 "/>
</g>
</svg>
</p> </p>
<p> <p>The graph will have local maximum if it changes from increasing to decreasing and a local minimum if it changes from decreasing to increaing. The graph has a local maximum at <img class="equation_image" title=" \displaystyle (-5.8,22.6) " src="/equation_images/%20%5Cdisplaystyle%20%28-5.8%2C22.6%29%20" alt="LaTeX: \displaystyle (-5.8,22.6) " data-equation-content=" \displaystyle (-5.8,22.6) " /> . The graph has a local minimum at <img class="equation_image" title=" \displaystyle (-2, -1) " src="/equation_images/%20%5Cdisplaystyle%20%28-2%2C%20-1%29%20" alt="LaTeX: \displaystyle (-2, -1) " data-equation-content=" \displaystyle (-2, -1) " /> . </p> </p>