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Questions: Algebra BusinessCalculus
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Draw/sketch the end behavior that best describes \begin{equation*}f(x) = 43 x^{18} + 12 x^{17} - 17 x^{16} + 40 x^{12} + 49 x^{10} - 29 x + 52\end{equation*}
The coefficient is \(\displaystyle a_n=43\) and is positive. The degree is \(\displaystyle 18\) and is even. So the end behavior is
\begin{tikzpicture}
\draw[-latex,domain=0:-1] plot ({\x-.25},{\x*\x});
\draw[-latex,domain=0:1] plot ({\x+.25},{\x*\x});%pos even
\end{tikzpicture}
\begin{question}Draw/sketch the end behavior that best describes
\begin{equation*}f(x) = 43 x^{18} + 12 x^{17} - 17 x^{16} + 40 x^{12} + 49 x^{10} - 29 x + 52\end{equation*}
\soln{5cm}{The coefficient is $a_n=43$ and is positive. The degree is $18$ and is even. So the end behavior is
\begin{tikzpicture}
\draw[-latex,domain=0:-1] plot ({\x-.25},{\x*\x});
\draw[-latex,domain=0:1] plot ({\x+.25},{\x*\x});%pos even
\end{tikzpicture}
}
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Draw/sketch the end behavior that best describes
<img class="equation_image" title=" f(x) = 43 x^{18} + 12 x^{17} - 17 x^{16} + 40 x^{12} + 49 x^{10} - 29 x + 52 " src="/equation_images/%20f%28x%29%20%3D%2043%20x%5E%7B18%7D%20%2B%2012%20x%5E%7B17%7D%20-%2017%20x%5E%7B16%7D%20%2B%2040%20x%5E%7B12%7D%20%2B%2049%20x%5E%7B10%7D%20-%2029%20x%20%2B%2052%20" alt="LaTeX: f(x) = 43 x^{18} + 12 x^{17} - 17 x^{16} + 40 x^{12} + 49 x^{10} - 29 x + 52 " data-equation-content=" f(x) = 43 x^{18} + 12 x^{17} - 17 x^{16} + 40 x^{12} + 49 x^{10} - 29 x + 52 " /> </p> </p><p> <p>The coefficient is <img class="equation_image" title=" \displaystyle a_n=43 " src="/equation_images/%20%5Cdisplaystyle%20a_n%3D43%20" alt="LaTeX: \displaystyle a_n=43 " data-equation-content=" \displaystyle a_n=43 " /> and is positive. The degree is <img class="equation_image" title=" \displaystyle 18 " src="/equation_images/%20%5Cdisplaystyle%2018%20" alt="LaTeX: \displaystyle 18 " data-equation-content=" \displaystyle 18 " /> and is even. So the end behavior is
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