Question

use the graph below to find the information on the right.
a. for what value(s) of x does the function obtain a relative minimum?
select the correct choice below and, if necessary, fill in the answer box
complete your choice.
○ a. the function obtains a relative minimum at
(type an integer or a decimal.)
○ b. there is no solution.

Explanation:

Step1: Recall the definition of relative minimum

A relative minimum of a function is a point where the function changes from decreasing to increasing.

Step2: Analyze the given graph

Looking at the graph, we can see that the function has a point where it changes from decreasing to increasing at \(x = - 6\).

Answer:

A. The function obtains a relative minimum at \(-6\)