Question

select all the intervals where g is increasing.

choose all answers that apply:
a (-4 < x < -3)
b (-2.5 < x < -2)
c (0.5 < x < 1.5)
d none of the above

Explanation:

Step1: Define increasing function

A function $g(x)$ is increasing on an interval if as $x$ increases, $g(x)$ also increases (the graph rises from left to right).

Step2: Analyze each interval

• For interval A ($-4 < x < -3$): The graph rises from left to right, so $g(x)$ is increasing here.
• For interval B ($-2.5 < x < -2$): The graph falls from left to right, so $g(x)$ is decreasing here.
• For interval C ($0.5 < x < 1.5$): The graph rises from left to right, so $g(x)$ is increasing here.

Answer:

A. $-4 < x < -3$, C. $0.5 < x < 1.5$