Increasing Function Domain: Analyzing Graph from x=-2 to x=8

In which domain is the function increasing?

x-24-1100111.52305-78-9

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Step-by-step video solution

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00:03 Let's find where the function increases.
00:07 A function increases when both the X and Y values grow together.
00:13 Starting here, the function begins to go up.
00:18 Here, the function starts to go down again.
00:27 We can see this is where the function increases.
00:32 And that's how we solve the problem!

Step-by-step written solution

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1

Understand the problem

In which domain is the function increasing?

x-24-1100111.52305-78-9

2

Step-by-step solution

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.

According to the given value table, we can see that in the domain where1.5>x>0 1.5 > x > 0 the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

1.5>x>0 1.5 > x > 0

3

Final Answer

1.5>x>0 1.5>x>0

Practice Quiz

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Is the function in the graph decreasing? yx

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