question the function f is graphed below. determine the intervals on which f increasing and decreasing…

Explanation:

Step1: Identify increasing - decreasing rules

A function is increasing when the graph goes up from left to right and decreasing when it goes down from left to right.

Step2: Analyze left - most part

Looking at the left - most part of the graph, it is going up from (x=-5) to (x = - 2). So, it is increasing on the interval (-5<x<-2).

Step3: Analyze middle part

The middle part of the graph is going down from (x=-2) to (x = 2). So, it is decreasing on the interval (-2<x<2).

Step4: Analyze right - most part

The right - most part of the graph is going down from (x = 2) to (x=5). So, it is decreasing on the interval (2<x<5).

Answer:

The function is increasing on the interval (-5<x<-2), and decreasing on the interval (-2<x<2) and on the interval (2<x<5).