Finding Function Increase Domain with Vertical Line x=-0.8: Graph Analysis

In which domain does the function increase?

Green line:
x=0.8 x=-0.8

–2–2–2222222000

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Step-by-step video solution

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00:00 Find the domain of increase of the function
00:04 The function increases when X and Y values increase simultaneously
00:09 It appears that the function always increases
00:13 And this is the solution to the question

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1

Understand the problem

In which domain does the function increase?

Green line:
x=0.8 x=-0.8

–2–2–2222222000

2

Step-by-step solution

The function increases if X values and Y values increase simultaneously.
In this function, despite its unusual form, we can observe that the function continues to increase according to the definition at all times,
Furthermore there is no stage where the function decreases.
Therefore, we can say that the function increases for all X, there is no X we can input where the function will be decreasing.

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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