Question

2 multiple answer 16.7 points for which interval(s) is the function increasing? $(-2,0)$ $(-8,-2)$ $(5,\infty)$ $(-\infty,-8)$ $(0,2)$ $(2,5)$

Explanation:

Step1: Analyze the function's trend

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

Step2: Check each interval

• For \((-2,0)\): As \(x\) increases from \(-2\) to \(0\), \(y\) decreases.
• For \((-8,-2)\): As \(x\) increases from \(-8\) to \(-2\), \(y\) increases.
• For \((5,\infty)\): As \(x\) increases from \(5\) to \(\infty\), \(y\) increases.
• For \((-\infty,-8)\): As \(x\) increases from \(-\infty\) to \(-8\), \(y\) decreases.
• For \((0,2)\): As \(x\) increases from \(0\) to \(2\), \(y\) increases.
• For \((2,5)\): As \(x\) increases from \(2\) to \(5\), \(y\) decreases.

Answer:

\((-8,-2)\), \((5,\infty)\), \((0,2)\)