use the graph of the function f given below to answer the questions. list the values of x at which f has a…

use the graph of the function f given below to answer the questions. list the values of x at which f has a local maximum. select the correct choice below and fill in any answer boxes within your choice. a. x = -3,1 (type an integer. use a comma to separate answers as needed.) b. there are no local maxima. what are these local maxima, if they exist? select the correct choice below and fill in any answer boxes within your choice. a. the local maxima are (type an integer. use a comma to separate answers as needed.) b. there are no local maxima.

use the graph of the function f given below to answer the questions. list the values of x at which f has a local maximum. select the correct choice below and fill in any answer boxes within your choice. a. x = -3,1 (type an integer. use a comma to separate answers as needed.) b. there are no local maxima. what are these local maxima, if they exist? select the correct choice below and fill in any answer boxes within your choice. a. the local maxima are (type an integer. use a comma to separate answers as needed.) b. there are no local maxima.

Answer

Explanation:

Step1: Identify local maxima points

Local maxima occur where the function changes from increasing to decreasing. By observing the graph, we can see the function changes from increasing to decreasing at (x=- 3) and (x = 1).

Step2: Find the (y) - values of local maxima

We need to find the (y) - values corresponding to (x=-3) and (x = 1) on the graph. By looking at the graph, when (x=-3), (y = 3) and when (x = 1), (y=3).

Answer:

  1. A. (x=-3,1)
  2. A. The local maxima are (3)