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 where the function value is less than or equal to the values of the function at nearby points.

Step2: Examine the graph

Looking at the graph of the function (y = f(x)), we can see that the function has local minima at the low - points of its "valleys".

Step3: Identify (x) - values of local minima

The local minima occur at (x=- 8) and (x = 6).

Answer:

A. (x=-8,6)