Finding the Positive Domain: Analyzing a Horizontal Line at y=4

What is the positive domain of the function shown in the graph below?

(0, 4)(0, 4)(0, 4)xy

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Step-by-step video solution

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00:00 Find the positive domain of the function
00:03 The function is positive when it's above the X-axis
00:07 and negative when the function is below the X-axis
00:10 The function is always above the X-axis, therefore always positive
00:13 and this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What is the positive domain of the function shown in the graph below?

(0, 4)(0, 4)(0, 4)xy

2

Step-by-step solution

Since the entire function is above the X-axis, the function is always positive.

In other words, its positive domain will be all values of x x .

3

Final Answer

For all x x

Practice Quiz

Test your knowledge with interactive questions

Look at the function shown in the figure.

When is the function positive?

xy-4-7

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