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?

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 $x>3.5$}