Finding the Positive Domain: Linear Function with Points (0,a) and (2a,0)

Look at the function in the figure.

What is the positive domain of the function?

xy(0,a)(2a,0)

ā¤ļø Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the domain of positivity of the function
00:03 The function is positive when it's above the X-axis
00:06 and negative when the function is below the X-axis
00:15 Let's identify when the function intersects the X-axis
00:19 We'll identify when the function is positive and when it's negative
00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the function in the figure.

What is the positive domain of the function?

xy(0,a)(2a,0)

2

Step-by-step solution

Positive domain is another name for the point from which the x values are positive and not negative.

From the figure, it can be seen that the function ascends and passes through the intersection point with the X-axis (where X is equal to 0) at point 2a.

Therefore, it is possible to understand that from the moment X is greater than 2a, the function is in the domains of positivity.

Therefore, the function is positive when:

2a<x 2a < x

3

Final Answer

2a<x 2a < 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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Functions questions, detailed video solutions, and personalized progress tracking.

šŸ“¹

Unlimited Video Solutions

Step-by-step explanations for every problem

šŸ“Š

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations