using the graph of the function y = f(x), answer the following questions.\na) on what interval(s) is f…

Explanation:

Step1: Recall the definition of increasing function

An increasing function has $y$ - values that rise as $x$ - values increase. Looking at the graph, we see that the function $y = f(x)$ is increasing when moving from left - to - right and the $y$ values are getting larger.

Step2: Identify the increasing interval

From the graph, we can see that the function is increasing on the interval $(-\infty, 2]$.

Step3: Recall the definition of decreasing function

A decreasing function has $y$ - values that fall as $x$ - values increase.

Step4: Identify the decreasing interval

From the graph, we can see that the function is decreasing on the interval $[2,\infty)$.

Answer:

a) $(-\infty, 2]$ b) $[2,\infty)$