Question

the following is the graph of the function f. use the graph to find the intervals on which the function is increasing or decreasing. answer using interval notation. increasing: decreasing:

Explanation:

Step1: Understand increasing - decreasing

A function is increasing when the $y$ - values increase as the $x$ - values increase, and decreasing when the $y$ - values decrease as the $x$ - values increase.

Step2: Identify increasing interval

Looking at the graph, the function $y = f(x)$ is increasing when $x$ goes from $- 1$ to $7$. In interval notation, this is $(-1,7)$.

Step3: Identify decreasing interval

The function $y = f(x)$ is decreasing when $x$ goes from $-7$ to $-1$. In interval notation, this is $(-7,-1)$.

Answer:

Increasing: $(-1,7)$
Decreasing: $(-7,-1)$