Questions: Here is a graph of the function f. Use the graph to find the following. If there is more than one answer, separate them with commas. (a) All values at which f has a local maximum: (b) All local maximum values of f :

Here is a graph of the function f. Use the graph to find the following. If there is more than one answer, separate them with commas. (a) All values at which f has a local maximum: (b) All local maximum values of f :
Transcript text: Here is a graph of the function $f$. Use the graph to find the following. If there is more than one answer, separate them with commas. (a) All values at which $f$ has a local maximum: $\square$ (b) All local maximum values of $f$ : $\square$
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Solution

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Solution Steps

Step 1: Find the x-coordinates of the local maxima

A local maximum is a point where the function changes from increasing to decreasing. The graph has local maxima at $x = -4$ and $x = 2$.

Step 2: Find the local maximum values

The local maximum values are the y-values of the function at the local maxima. At $x=-4$, $y=3$. At $x=2$, $y=3$.

Final Answer:

(a) -4, 2 (b) 3

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