Function Domain Analysis: Finding Intervals Where f(x) is Increasing

In which domain is the function increasing?

f(x)x-24-1100112.52305-78-9

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00:03 Let's find where the function is increasing.
00:07 The function increases when both X and Y go up together.
00:13 From this point on, the function starts to rise.
00:19 Then here, the function begins to fall again.
00:25 Let's figure out where the function is increasing.
00:36 And that's how we solve this question!

Step-by-step written solution

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1

Understand the problem

In which domain is the function increasing?

f(x)x-24-1100112.52305-78-9

2

Step-by-step solution

Note 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 where2.5>x>0 2.5 > x > 0 the X values and Y values increase simultaneously.

Therefore, the function increases in the domain where

2.5>x>0 2.5 > x > 0

3

Final Answer

2.5>x>0 2.5>x>0

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Is the function in the graph decreasing? yx

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