Identifying Decreasing Domains in a Piecewise Function Graph

In what domain is the function decreasing?

–1–1–1111–1–1–1111000

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Step-by-step video solution

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00:00 Find the domain where the function decreases
00:04 The function decreases when X values increase and Y values decrease
00:10 First, let's find the domains of increase
00:15 Now let's find the domains of decrease
00:23 Let's identify exactly when the function decreases
00:33 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In what domain is the function decreasing?

–1–1–1111–1–1–1111000

2

Step-by-step solution

Let's remember that the function increases when X values and Y values increase simultaneously.

On the other hand, the function decreases when X values increase and Y values decrease simultaneously.

In the given graph, we notice that the function decreases in two different places on the graph.

The first time it decreases in the domain where 0>x>1 0 > x > -1 and the second time it decreases in the domain where

x>1 x > 1

This means that in these domains, the Y values are decreasing.

3

Final Answer

0>x>1,x>1 0>x>-1,x>1

Practice Quiz

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Is the function in the graph decreasing? yx

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