Question

answer attempt 2 out of 3
the function is increasing on the interval -9 < x < -4 (segment 1),
decreasing on the interval -4 < x < 1 (segment 2), and increasing on the
interval 1 < x < 5 (segment 3).

Explanation:

Step1: Identify segment 1 trend

Observe leftmost segment: as $x$ increases from $-9$ to $-4$, $y$ rises. So interval is $-9 < x < -4$, function is increasing.

Step2: Identify segment 2 trend

Observe middle segment: as $x$ increases from $-4$ to $1$, $y$ falls. So interval is $-4 < x < 1$, function is decreasing.

Step3: Identify segment 3 trend

Observe rightmost segment: as $x$ increases from $1$ to $5$, $y$ rises. So interval is $1 < x < 5$, function is increasing.

Answer:

The function is increasing on the interval $-9 < x < -4$ (segment 1),
decreasing on the interval $-4 < x < 1$ (segment 2), and increasing on the interval $1 < x < 5$ (segment 3).