Question

On what intervals is the function shown in the graph increasing?

A) x<-4 and x > 2
B) x<-4 and -1 < x < 2
C) -4 2
D) -4

Answer 1

Answer:
`-4 < x < -1` and
`x > 2`

Step-by-step explanation:

The graph is increasing when the curve moves uphill as you move to the right. In other words, as x increases, y increases.

The first portion where the graph increases is from x = -4 to x = -1. In the span of -4 < x < -1 is when the graph goes uphill as shown by the red portion below. The blue portion is the second increasing piece that goes on forever upward, and this happens when x > 2.