4.3 max & min on an interval\n8. a. find the (x,y) coordinates of all local minimums of w(x).\nb. find the…

Explanation:

Step1: Recall local - minimum definition

A local minimum occurs where the function changes from decreasing to increasing.

Step2: Identify from the graph

From the graph of (y = w(x)), we look for the low - points in small intervals. We can see that at (x = 2), the function (w(x)) has a local minimum. The (y) - value at (x = 2) is (y=-3).

Answer:

A. ((2, - 3))

Explanation:

Step1: Recall local - maximum definition

A local maximum occurs where the function changes from increasing to decreasing.

Step2: Identify from the graph

From the graph of (y = w(x)), we look for the high - points in small intervals. We can see that at (x = 0), the function (w(x)) has a local maximum. The (y) - value at (x = 0) is (y = 1).

Answer:

B. ((0,1))