Question

the function ( f ) is graphed below. determine the intervals on which ( f ) increasing and decreasing.

Explanation:

Step1: Identify decreasing interval

A function decreases when as $x$ increases, $f(x)$ decreases. Looking at the graph, from $(-\infty, 1)$, the function falls as $x$ moves right.

Step2: Identify increasing interval

A function increases when as $x$ increases, $f(x)$ increases. From $(1, \infty)$, the function rises as $x$ moves right.

Answer:

• Increasing interval: $(1, \infty)$
• Decreasing interval: $(-\infty, 1)$