Determine the Domain of Increasing Behavior in a Curved Function Graph

In what domain is the function increasing?

–5–5–5555101010151515–5–5–5555000

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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 A function increases when, as X values go up, Y values also go up.
00:11 For this function, it looks like it keeps increasing the whole time.
00:16 And that's how we solve this problem!

Step-by-step written solution

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1

Understand the problem

In what domain is the function increasing?

–5–5–5555101010151515–5–5–5555000

2

Step-by-step solution

Let's first remember that a function is increasing if both the X and Y values are increasing simultaneously.

Conversely, a function is decreasing if the X values are increasing while the Y values are decreasing simultaneously.

In the graph shown, we can see that the function is increasing in every domain and therefore the function is increasing for all values of X.

3

Final Answer

All values of x x

Practice Quiz

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Is the function in the graph decreasing? yx

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