math 120e section 1201 homework assignment due on april 10, 2023\n17.\nf is increasing on the open intervals…

Explanation:

Step1: Recall increasing - decreasing - constant rules

A function $y = f(x)$ is increasing when the graph goes up from left - to - right, decreasing when it goes down from left - to - right, and constant when it is a horizontal line.

Step2: Identify increasing intervals

By observing the graph, the function is increasing on the intervals $(-4,1)$ and $(9,11)$.

Step3: Identify decreasing intervals

The function is decreasing on the intervals $(-8,-4)$, $(1,6)$ and $(11,13)$.

Step4: Identify constant intervals

The function is constant on the intervals $(-8,-5)$ and $(6,9)$.

Answer:

$f$ is increasing on the open intervals $(-4,1)$ and $(9,11)$. $f$ is decreasing on the open intervals $(-8,-4)$, $(1,6)$ and $(11,13)$. $f$ is constant on the open intervals $(-8,-5)$ and $(6,9)$.