the given function $f(x)$ is defined on the interval $-9,9$ and represented by the graph below. for the…

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.\nanswer\nthe point is a global maximum\nthe point is a global minimum\nthe point is a relative maximum\nthe point is a relative minimum\nthe point is neither a global nor a relative extremum

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.\nanswer\nthe point is a global maximum\nthe point is a global minimum\nthe point is a relative maximum\nthe point is a relative minimum\nthe point is neither a global nor a relative extremum

Answer

Explanation:

Step1: Recall definitions

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

Step2: Analyze the circled point

The circled point is neither the highest point in the domain ([-9,9]) (so it's not a global maximum) nor the lowest point (so it's not a global minimum). Also, it is not higher than its immediate neighbors (so it's not a relative maximum) and not lower than its immediate neighbors (so it's not a relative minimum).

Answer:

The point is neither a global nor a relative extremum