Function Domain Analysis: Finding Intervals of Increase with x=1.1

In what domain does the function increase?

Black line: x=1.1 x=1.1

–2–2–2222444666222000

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Step-by-step video solution

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00:00 Find the increasing domain of the function
00:03 The function increases when X and Y values increase simultaneously
00:07 Let's find the increasing domain of the function
00:11 We'll precisely identify the starting and ending points of the increase
00:16 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In what domain does the function increase?

Black line: x=1.1 x=1.1

–2–2–2222444666222000

2

Step-by-step solution

Remember that a function is increasing if the x x values and y y values are increasing simultaneously.

A function is decreasing if the X values are increasing and the Y values are decreasing simultaneously.

In the plotted graph, we can see that in the domain 1.1>x>0 1.1 > x > 0 the function is increasing—meaning the y y values are increasing.

3

Final Answer

1.1>x>0 1.1 > x > 0

Practice Quiz

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Is the function in the graph decreasing? yx

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