Identifying Decreasing Domains in a Piecewise Function Graph

Question

In what domain is the function decreasing?

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

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

$x > 1$

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

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