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?

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

Video Solution

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