Question

select all the intervals where h is decreasing.
choose all answers that apply:
a -4 < x < -3
b -2 < x < 0
c 0 < x < 2
d none of the above

Explanation:

Step1: Recall decreasing - function property

A function $y = h(x)$ is decreasing on an interval if as $x$ increases, $y$ decreases. That is, for any two points $x_1$ and $x_2$ in the interval with $x_1h(x_2)$.

Step2: Analyze the graph

Looking at the graph of $y = h(x)$:

• In the interval $-4 < x<-3$, as $x$ increases (moves from left - to - right), the $y$ - values of the function are decreasing.
• In the interval $-2 < x < 0$, as $x$ increases, the $y$ - values of the function are increasing.
• In the interval $0 < x < 2$, as $x$ increases, the $y$ - values of the function are increasing.

Answer:

A. $-4 < x < -3$