Finding Negative Domains: Analyzing Function Values from -0.5 to 2

Determine in which domain the function is negative?

–0.5–0.5–0.50.50.50.51111.51.51.5222000

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00:00 Find the negative domain of the function
00:04 A function is negative when its Y values are less than 0
00:08 That is, below the X axis
00:13 At this point the function goes below the X-axis
00:18 And this is the solution to the question

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1

Understand the problem

Determine in which domain the function is negative?

–0.5–0.5–0.50.50.50.51111.51.51.5222000

2

Step-by-step solution

Remember that a function is increasing if both X values and Y values are increasing simultaneously.

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

In the graph, we can observe that in the domain x>1 x > 1 the function is decreasing, meaning the Y values are decreasing.

3

Final Answer

x>1 x > 1

Practice Quiz

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Is the function in the graph decreasing? yx

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