Find the Increasing Domain: Analyzing Function Values from -5 to 5

In which domain is the function increasing?

f(x)x-57-1.58-110014215343.5250

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Step-by-step video solution

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00:00 Find the domain of increase of the function
00:03 The function increases when X and Y values increase simultaneously
00:09 From this point the function starts to decrease
00:18 We can deduce from this the domain of increase
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In which domain is the function increasing?

f(x)x-57-1.58-110014215343.5250

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 wherex<2 x < 2 the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

x<2 x < 2

3

Final Answer

x<2 x<2

Practice Quiz

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Is the function in the graph decreasing? yx

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