select all the intervals where f is increasing. choose all answers that apply: -3 < x < -2 -1.5 < x < 0 3.5…

select all the intervals where f is increasing. choose all answers that apply: -3 < x < -2 -1.5 < x < 0 3.5 < x < 4.5 none of the above
Answer
Answer:
A. $-3 < x < -2$, B. $-1.5 < x < 0$
Explanation:
Step1: Understand increasing function
A function is increasing when the $y$-values increase as the $x$-values increase.
Step2: Analyze the graph
By observing the graph of $y = f(x)$, in the interval $-3 < x < -2$, as $x$ increases, $y$ is increasing. Also in the interval $-1.5 < x < 0$, as $x$ increases, $y$ is increasing. In the interval $3.5 < x < 4.5$, the function is decreasing. So the correct increasing - intervals are $-3 < x < -2$ and $-1.5 < x < 0$.