Function Domain Analysis: Finding Intervals of Increase from Graph

In what domain does the function increase?

–20–20–20–10–10–10101010202020–10–10–10101010000

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Step-by-step video solution

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00:00 Find the domain where the function increases
00:04 A function increases if X and Y values increase simultaneously
00:07 We can see that while X is less than 0, the function decreases
00:13 We notice there's a change at the origin point
00:17 The function increases as long as X is greater than 0
00:20 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?

–20–20–20–10–10–10101010202020–10–10–10101010000

2

Step-by-step solution

Let's remember that the function increases if the x x values and y y values increase simultaneously.

On the other hand, the function decreases if the x x values increase while the y y values decrease simultaneously.

In the given graph, we can see that the function increases in the domain where x>0 x > 0 ; in other words, where the y y values are increasing.

3

Final Answer

x>0 x > 0

Practice Quiz

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Is the function in the graph decreasing? yx

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