Linear Function Analysis: Finding Positive and Negative Regions at x=7

Given the function of the graph.

What are the areas of positivity and negativity of the function?

xy7

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Step-by-step video solution

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00:00 What are the positive and negative domains of the function?
00:03 and negative when the function is below the X-axis
00:08 The function is positive when it's above the X-axis
00:12 Let's identify when the function intersects the X-axis
00:15 We'll identify when the function is positive and when it's negative
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the function of the graph.

What are the areas of positivity and negativity of the function?

xy7

2

Step-by-step solution

When we are asked what the domains of positivity of the function are, we are actually being asked at what values of X the function is positive: it is above the X-axis.

At what values of X does the function obtain positive Y values?

 

In the given graph, we observe that the function is above the X-axis before the point X=7, and below the line after this point. That is, the function is positive when X>7 and negative when X<7,

And this is the solution!

 

3

Final Answer

Positive 7>x 7 > x

Negative 7<x 7 < 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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