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

Question

Look at the function in the figure.

What is the positive domain of the function?

Video Solution

Solution Steps

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 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:

$2a < x$

Answer

$2a < x$

Related Subjects

Question Types

Positivity and Negativity: Identify positive and negative domains on a graph