Linear Function Sign Analysis: Finding Positive and Negative Regions at Points (2.25, 3.5)

Question

Look at the function graphed below.

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

00:00 What are the positive and negative domains 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

00:19 Let's identify when the function intersects the X-axis

00:28 We'll identify when the function is positive and when it's negative

00:43 And this is the solution to the question

Let's remember that the function is positive when it is above the X-axis. The function is negative when it is below the X-axis.

Let's note that the intersection point of the graph with the X-axis is:

$(3.5,0)$

This means that when $x>3.5$ , it is below the X-axis and when $x < 3.5$ , it is above the X-axis.

In other words, the function is positive when $x < 3.5$ and the function is negative when $x>3.5$ .

^{Positive $x<3.5$}

^{Negative $x>3.5$}