Question

the given function (f(x)) is defined on the interval ((-9,9)) and represented by the graph below. find the x - value(s) of all relative minima.

Explanation:

Step1: Recall relative - minimum definition

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

Step2: Examine the graph

Look for points on the graph of \(y = f(x)\) in the interval \((-9,9)\) where the function changes from decreasing to increasing.
From the graph, we can see that the function changes from decreasing to increasing at \(x = 5\).

Answer:

5