Question

Use the graph below for the remaining problems.

8
7
9
5
4
3
2
1
-8 -7 -6 -5 -4 -3 -2 -1,
-1
2
3 4 5 6 co
-3
-4
-5
-6
7
-8
1 2 3 4 5 6 7 8

Answer 1

Based on the graph, the increasing interval and increasing interval include:

13. the increasing interval is (-∞, -2].

14. the decreasing interval is [-2, ∞).

For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is an increasing function.

Generally speaking, a function is considered as a strictly increasing function when the graph of the function is always rising from left to right.

Part 13.

By critically observing the graph of this absolute value function below, we can logically deduce that it is increasing over the following interval;

increasing = (-∞, -2]

Part 14.

By critically observing the graph of this absolute value function below, we can logically deduce that it is decreasing over the following interval;

decreasing = [-2, ∞)

Complete Question:

Use the graph below for the remaining problems.

13. List the increasing interval. Use interval notation.

14. List the decreasing interval. Use interval notation.