Question

-5-4-3

Answer 1

Answer:

$Interval = (-2,1.5)$

$Interval = (-\infty, -2)\ u\ (1.5,\infty)$

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Increasing interval

To do this, we simply identify the interval at which the value of the graph increases.

The value has an increased interval between -2 and 1.5 (of the x-axis).

Hence, the increasing interval is:

$Interval = (-2,1.5)$

Solving (b): Decreasing interval

To do this, we simply identify the interval at which the value of the graph decreases.

The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).

Hence, the decreasing interval is:

$Interval = (-\infty, -2)\ u\ (1.5,\infty)$