Question

select all the intervals where g is increasing.

choose all answers that apply:
a (-3 < x < -2)
b (-1 < x < 0)
c (2 < x < 3)
d none of the above

Explanation:

Step1: Define increasing function

A function $g(x)$ is increasing on an interval if for any two values $x_1 < x_2$ in the interval, $g(x_1) < g(x_2)$ (the graph rises left to right).

Step2: Analyze each interval

• For $-3 < x < -2$: The graph rises left to right, so $g(x)$ increases here.
• For $-1 < x < 0$: The graph falls left to right, so $g(x)$ decreases here.
• For $2 < x < 3$: The graph falls left to right, so $g(x)$ decreases here.

Answer:

A. $-3 < x < -2$