what are the decreasing intervals? x < 0, x > 2 0 < x < 2 0 < x < -4, 0 < x < 2 -1 < x < 0, 2 < x < -4

what are the decreasing intervals? x < 0, x > 2 0 < x < 2 0 < x < -4, 0 < x < 2 -1 < x < 0, 2 < x < -4

what are the decreasing intervals? x < 0, x > 2 0 < x < 2 0 < x < -4, 0 < x < 2 -1 < x < 0, 2 < x < -4

Answer

Explanation:

Step1: Recall decreasing - function concept

A function $y = f(x)$ is decreasing on an interval if for any two points $x_1$ and $x_2$ in the interval with $x_1<x_2$, we have $f(x_1)>f(x_2)$. On a graph, the function is decreasing when the curve goes down - hill as we move from left to right.

Step2: Analyze the given graph

Looking at the graph of the function, we can see that as we move from left to right, the function is going down (decreasing) when $0 < x<2$.

Answer:

B. $0 < x < 2$