Function Domain Analysis: Finding Intervals Where Function is Increasing

In which domain is the function increasing?

x-1010-78-360425463.5789

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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
00:12 From this point the function begins to increase
00:21 We can deduce from this the domain of increase
00:31 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?

x-1010-78-360425463.5789

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 where0>x 0 > x X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

x>0 x > 0

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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