select all the intervals where g is decreasing.\nchoose all answers that apply:\na -5 < x < -4\nb -2 < x <…
select all the intervals where g is decreasing.\nchoose all answers that apply:\na -5 < x < -4\nb -2 < x < 2\nc 3 < x < 4\nd none of the above
Answer
Explanation:
Step1: Recall decreasing - function definition
A function $y = g(x)$ is decreasing on an interval if as $x$ increases, $y$ decreases.
Step2: Analyze interval $-5\lt x\lt - 4$
Looking at the graph, as $x$ moves from $-5$ to $-4$, the $y -$values of $g(x)$ are increasing.
Step3: Analyze interval $-2\lt x\lt2$
As $x$ moves from $-2$ to $2$, the $y -$values of $g(x)$ are increasing.
Step4: Analyze interval $3\lt x\lt4$
As $x$ moves from $3$ to $4$, the $y -$values of $g(x)$ are decreasing.
Answer:
C. $3\lt x\lt4$