Function Analysis: Finding Increasing Intervals in Domain [-2, 5]

In which domain is the function increasing?

f(x)x-210-1.58-0.560021353.5759

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Step-by-step video solution

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00:03 Let's find where the function increases.
00:06 The function grows when both X and Y values grow together.
00:15 From this point, the function starts to increase.
00:23 We can determine from this where the function is increasing.
00:30 And that's how we find 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-210-1.58-0.560021353.5759

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>0 x > 0 the 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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