Question

Estimate and classify the critical points for the graph of the function
Please show work

Answer 1

The critical points of the function graphed are given as follows:

• x = -1.5: Local maximum.

• x = -1: Local minimum.

What are the critical points of a function?

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In a graph, they are turning points, and are classified as follows:

• Local maximum, if the functions changes from increasing to decreasing.

• Local minimum, if the functions changes from decreasing to increasing.

Looking at the graph, the turning points are approximately:

• x = -1.5: Local maximum.

• x = -1: Local minimum.

More can be learned about critical points at https://brainly.com/question/2256078

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