Question

the given function f(x) is defined on the interval -9, 9 and represented by the graph below. for the circled point, select all that apply. answer attempt 1 out of 2 the point is a global maximum the point is a global minimum the point is a local maximum the point is neither a global nor a

Explanation:

Step1: Recall definitions

A global maximum is the highest - valued point in the entire domain, a global minimum is the lowest - valued point in the entire domain, and a local maximum is higher than its immediate neighbors.

Step2: Analyze the graph

The circled point is not the highest - valued point in the domain $[-9,9]$ (since there are higher - y - valued points on the graph), so it's not a global maximum. It is the lowest - valued point in the domain $[-9,9]$, so it is a global minimum. It is also lower than its immediate neighbors, so it is not a local maximum.

Answer:

The point is a global minimum