Question

characteristics of function
on what intervals is this function decreasing? check all that apply.

1. a. (-4,-3) b. (-1,2) c. (-3,-1) d. (2,3) e. (3, ∞ )

on what intervals is this function increasing? check all that apply.

1. a. (-4,-3) b. (-1,2) c. (-3,-1) d. (2,3) e. (3, ∞ )

Explanation:

Step1: Recall function increasing - decreasing rules

A function is decreasing when the graph goes down from left - to - right and increasing when it goes up from left - to - right.

Step2: Analyze decreasing intervals

Looking at the graph, the function is decreasing on the intervals $(-4, - 3)$ and $(-1,2)$.

Step3: Analyze increasing intervals

The function is increasing on the intervals $(-3,-1)$ and $(3,\infty)$.

Answer:

1.
a. $(-4,-3)$
b. $(-1,2)$
2.
c. $(-3,-1)$
e. $(3,\infty)$