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 local minima.

Explanation:

Step1: Understand Local Minima

A local minimum is a point where the function changes from decreasing to increasing (the graph dips to a low point in its neighborhood).

Step2: Analyze the Graph

Looking at the graph, we identify the point where the function has a local minimum. From the graph, the local minimum occurs at \( x = 5 \) (checking the x - coordinate of the lowest point in its local region).

Answer:

\( 5 \)