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 $LaTeX: \displaystyle (1, 7)$ . The graph has a local minimum at $LaTeX: \displaystyle (-5.3,-7.1)$ . The point $LaTeX: \displaystyle (5, -6)$ is neither a local max or local min.