Question

the function f is graphed below. determine the intervals on which f increasing and decreasing. answer attempt 1 out of 2 the function is on the interval < x < (segment 1), on the interval < x < (segment 2), and on the interval < x < (segment 3).

Explanation:

Step1: Recall increasing - decreasing rules

A function is decreasing if the $y$ - values decrease as the $x$ - values increase and increasing if the $y$ - values increase as the $x$ - values increase.

Step2: Analyze segment 1

For segment 1, as $x$ increases from - 9 to - 4, the $y$ - values decrease. So the function is decreasing on the interval $-9

Step3: Analyze segment 2

For segment 2, as $x$ increases from - 4 to 1, the $y$ - values increase. So the function is increasing on the interval $-4

Step4: Analyze segment 3

For segment 3, as $x$ increases from 1 to 7, the $y$ - values decrease. So the function is decreasing on the interval $1

Answer:

The function is decreasing on the interval $-9