use the graph to find: (a) the numbers, if any, at which f has a local maximum. what are these local maxima…

use the graph to find: (a) the numbers, if any, at which f has a local maximum. what are these local maxima? (b) the numbers, if any, at which f has a local minimum. what are these local minima? select the correct choice below and fill in any answer boxes within your choice a. the local maxima is/are y = 1 (type an integer. use a comma to separate answers as needed.) b. there are no local maxima. (b) select the correct choice below and fill in any answer boxes within your choice a. the value(s) of x at which f has a local minimum is/are x = -1,1 (type an integer. use a comma to separate answers as needed.) b. there are no values of x at which f has a local minimum select the correct choice below and fill in any answer boxes within your choice a. the local minima is/are y = (type an integer. use a comma to separate answers as needed.) b. there are no local minima.

use the graph to find: (a) the numbers, if any, at which f has a local maximum. what are these local maxima? (b) the numbers, if any, at which f has a local minimum. what are these local minima? select the correct choice below and fill in any answer boxes within your choice a. the local maxima is/are y = 1 (type an integer. use a comma to separate answers as needed.) b. there are no local maxima. (b) select the correct choice below and fill in any answer boxes within your choice a. the value(s) of x at which f has a local minimum is/are x = -1,1 (type an integer. use a comma to separate answers as needed.) b. there are no values of x at which f has a local minimum select the correct choice below and fill in any answer boxes within your choice a. the local minima is/are y = (type an integer. use a comma to separate answers as needed.) b. there are no local minima.

Answer

Explanation:

Step1: Identify local maxima

Local maxima occur where the function changes from increasing to decreasing. From the graph, at (x = 0), the function has a local maximum. The (y -)value at (x = 0) is (y=1).

Step2: Identify local minima

Local minima occur where the function changes from decreasing to increasing. From the graph, at (x=- 1) and (x = 1), the function has local minima. The (y -)value at these points is (y = 0).

Answer:

(a) A. The local maxima is/are (y = 1) (b) A. The value(s) of (x) at which (f) has a local minimum is/are (x=-1,1) (c) A. The local minima is/are (y = 0)