Question

determine all intervals on which the graph of $f$ is increasing.
graph of $f$
answer attempt 1 out of 2
additional solution no solution
all real numbers

Explanation:

Step1: Identify increasing intervals

A function is increasing when its graph rises from left to right. Looking at the graph:

1. From $x=-8$ to $x=-4$, the graph rises.
2. From $x=-2$ to $x=1$, the graph rises.
3. From $x=3$ to $x=6$, the graph rises.

We use open intervals because the function's behavior at the endpoints is the start/end of the increasing trend, and we do not include endpoints where the function stops increasing.

Answer:

$(-8, -4) \cup (-2, 1) \cup (3, 6)$