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 minimum. select the correct choice below and fill in any answer boxes within your choice. a. x= (type an integer. use a comma to separate answers as needed.) b. there are no local minima.

use the graph of the function f given below to answer the questions. list the 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. x= (type an integer. use a comma to separate answers as needed.) b. there are no local minima.

Answer

Explanation:

Step1: Recall local - minimum definition

A local minimum of a function occurs at a point (x) where the function value (f(x)) is less than or equal to the function values at nearby points.

Step2: Examine the graph

Looking at the given graph of the function (y = f(x)), we can see that the function has local minima. The function dips down at certain (x) - values.

Step3: Identify the (x) - values of local minima

From the graph, we can observe that the local minima occur at (x=- 7) and (x = 7).

Answer:

A. (x=-7,7)