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

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

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

Answer

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))