select all the intervals where g is decreasing.\nchoose all answers that apply:\na -1 < x < 0\nb 1 < x <…
select all the intervals where g is decreasing.\nchoose all answers that apply:\na -1 < x < 0\nb 1 < x < 2\nc 3 < x < 4\nd none of the above
Answer
Explanation:
Step1: Recall decreasing - function concept
A function $y = g(x)$ is decreasing on an interval if as $x$ increases, $y$ decreases.
Step2: Analyze interval $-1\lt x\lt0$
On the interval $- 1\lt x\lt0$, as $x$ increases, $y = g(x)$ is increasing.
Step3: Analyze interval $1\lt x\lt2$
On the interval $1\lt x\lt2$, as $x$ increases, $y = g(x)$ is decreasing.
Step4: Analyze interval $3\lt x\lt4$
On the interval $3\lt x\lt4$, as $x$ increases, $y = g(x)$ is decreasing.
Answer:
B. $1\lt x\lt2$, C. $3\lt x\lt4$