Question

select all the intervals where g is decreasing.

choose all answers that apply:

a (-5 < x < -4)
b (-2 < x < 2)
c (3 < x < 4)
d none of the ab

Explanation:

Step1: Define decreasing function

A function $g(x)$ is decreasing on an interval if as $x$ increases, $g(x)$ decreases (the graph moves downward from left to right).

Step2: Analyze Option A

For $-5 < x < -4$: The graph moves downward as $x$ increases from -5 to -4, so $g(x)$ is decreasing here.

Step3: Analyze Option B

For $-2 < x < 2$: The graph moves upward as $x$ increases from -2 to 2, so $g(x)$ is increasing here.

Step4: Analyze Option C

For $3 < x < 4$: The graph moves downward as $x$ increases from 3 to 4, so $g(x)$ is decreasing here.

Answer:

A. $-5 < x < -4$, C. $3 < x < 4$