Use the graph of the function f below to find the following

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

Solution

Point of local maximum : before the point the graph is increasing and after the point graph

is decreasing.

Point of local minimum : before the point the graph is decreasing and after the point graph

is increasing

Looking at the graph from left side the first trough point is Ist local minimum ( -4, -3)

2nd point on x axis the first crest which is first local maximum ( -2, 0)

3rd point on y axis is the local minimum ( 0, -2)

4 th point which is a crest is another local maximum ( 2,3)