Question

the function f is graphed below. determine the intervals on which f is increasing and decreasing. answer the function is on the interval \\( \square < x < \square \\) (segment 1), on the interval \\( \square < x < \square \\) (segment 2), and on the \\( \square < x < \square \\)

Explanation:

Step1: Understand increasing and decreasing functions

A function is increasing when, as \(x\) increases, \(y\) also increases. A function is decreasing when, as \(x\) increases, \(y\) decreases.

Step2: Analyze the graph

Looking at the graph:

• For the left - hand part (segment 1), as \(x\) increases (moving from left to right), \(y\) decreases.
• For the right - hand part (segment 2), as \(x\) increases (moving from left to right), \(y\) increases.

Answer:

The function is decreasing on the interval \(- 8