Question

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

Explanation:

Step1: Identify increasing interval

A function increases when $y$ rises as $x$ increases. Looking at the graph, from $x=-5$ to $x=3$, the $y$-values go from $-6$ to $7$, so the interval is $(-5, 3)$.

Step2: Identify decreasing interval

A function decreases when $y$ falls as $x$ increases. From $x=3$ to $x=8$, the $y$-values go from $7$ to $3$, so the interval is $(3, 8)$.

Answer:

Increasing on $(-5, 3)$; Decreasing on $(3, 8)$