16. f is increasing on the open intervals , , and . f is decreasing on the open intervals and . f is…

Explanation:

Step1: Identify increasing intervals

A function is increasing when its graph goes up from left - to - right. From the graph, we can see that $f$ is increasing on $(-5,-3)$, $(0,2)$ and $(12,14)$.

Step2: Identify decreasing intervals

A function is decreasing when its graph goes down from left - to - right. The function $f$ is decreasing on $(-3,0)$ and $(2,12)$.

Step3: Identify constant interval

A function is constant when its graph is a horizontal line. The function $f$ is constant on $(2,7)$.

Answer:

$f$ is increasing on the open intervals $(-5,-3)$, $(0,2)$, and $(12,14)$. $f$ is decreasing on the open intervals $(-3,0)$ and $(2,12)$. $f$ is constant on the open interval $(2,7)$.