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

Question

Given the function of the figure.

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:

$(3.5,0)$ meaning when

$x>3.5$ below the X-axis

and when $x < 3.5$

above the X-axis.

In other words, the function is positive when $x < 3.5$

The function is negative when $x>3.5$

^{Positive $x<3.5$}

^{Negative $x>3.5$}