Finding the Domain of Increase: Analyzing a Semicircular Function

In what domain does the function increase?

000

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Step-by-step video solution

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00:03 Let's find where the function is increasing.
00:06 It increases when both the X values and Y values go up together.
00:12 Now, let's identify where the function decreases.
00:17 So, this is where the function increases.
00:21 And that's how we solve the question!

Step-by-step written solution

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1

Understand the problem

In what domain does the function increase?

000

2

Step-by-step solution

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

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

In the given graph, we notice that the function increases in the domain where x<0 x < 0 , meaning the 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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