Question

select all the intervals where h is increasing.

y
40
30
20
10
-4 -3 -2 -1
-10
-20
-30
y = h(x)
-40
-50
-60
-70
x
choose all answers that apply:
choose all answers that apply:
a -5 < x < -3
b -2 < x < 0
c 0 < x < 2
d none of the above

Explanation:

Step1: Define increasing function

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

Step2: Analyze interval A: $-5 < x < -3$

On $-5 < x < -3$, the graph of $h(x)$ falls from left to right, so $h(x)$ is decreasing here.

Step3: Analyze interval B: $-2 < x < 0$

On $-2 < x < 0$, the graph of $h(x)$ rises from left to right, so $h(x)$ is increasing here.

Step4: Analyze interval C: $0 < x < 2$

On $0 < x < 2$, the graph of $h(x)$ falls from left to right, so $h(x)$ is decreasing here.

Answer:

B. $-2 < x < 0$