Finding Decreasing Intervals: Graph Analysis with x=0.65 Reference Line

In which interval does the function decrease?

Red line: x=0.65 x=0.65

111222333–1–1–1111000

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's find when the function goes down.
00:09 A function decreases when X goes up, and Y goes down.
00:14 It seems the function is always going down.
00:18 And that's the answer to our question!

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1

Understand the problem

In which interval does the function decrease?

Red line: x=0.65 x=0.65

111222333–1–1–1111000

2

Step-by-step solution

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

A function is decreasing if the x x values are increasing while the y y values are decreasing simultaneously.

In the graph we can see that the function is decreasing in all domains. In other words, it is decreasing for all x x .

3

Final Answer

All values of x x

Practice Quiz

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Is the function in the graph decreasing? yx

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