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 (quad) on the interval (square < x < square)
(segment 1) (quad) on the

Explanation:

Step1: Identify increasing interval

A function increases when its graph rises left to right. Segment 1 goes from $x=-6$ to $x=-2$, and $y$-values rise here.

Step2: Identify first decreasing interval

A function decreases when its graph falls left to right. Segment 2 goes from $x=-2$ to $x=1$, and $y$-values fall here.

Step3: Identify second increasing interval

Segment 3 goes from $x=1$ to $x=6$, and $y$-values rise here.

Answer:

The function is increasing on the interval $-6 < x < -2$
The function is decreasing on the interval $-2 < x < 1$
The function is increasing on the interval $1 < x < 6$