Question

use the graph to answer the question.
on which interval is the function increasing?
(1 point)
$(-\infty,-1)\cup(0,1)$
$(-1,0)\cup(1,\infty)$
$(-\infty,-1)\cup(1,\infty)$
$(-1,1)\cup(1,\infty)$

Explanation:

Step1: Analyze the graph

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

Step2: Check each interval

• For \((-\infty,-1)\): As \(x\) increases (moves right), \(y\) decreases.
• For \((-1,0)\): As \(x\) increases, \(y\) increases.
• For \((0,1)\): As \(x\) increases, \(y\) decreases.
• For \((1,\infty)\): As \(x\) increases, \(y\) increases.

Answer:

\((-1,0)\cup(1,\infty)\)