Increasing Function Intervals: Graph-Based Domain Investigation

In what domain does the function increase?

–10–10–10–5–5–5555101010151515202020–10–10–10–5–5–5555000

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Step-by-step video solution

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00:00 Find the increasing domain of the function
00:04 The function increases when X and Y values increase simultaneously
00:07 This is the increasing domain of the function
00:11 Find the start and end points of the increasing domain
00:16 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In what domain does the function increase?

–10–10–10–5–5–5555101010151515202020–10–10–10–5–5–5555000

2

Step-by-step solution

First we need to remember that the function increases if the X and Y values increase simultaneously.

Conversely, the function decreases if the X values increase while the Y values decrease simultaneously.

In the given graph, we can see that the function increases in the domain where 1>x>−1 1 > x > -1 , meaning the Y values are increasing.

3

Final Answer

1>x>−1 1 > x > -1

Practice Quiz

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Is the function in the graph decreasing? yx

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