Linear Function Analysis: Finding Positive and Negative Regions at x=7

Question

Given the function of the graph.

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

xy7

Video Solution

Step-by-Step Solution

When we are asked what the domains of positivity of the function are, we are actually being asked at what values of X the function is positive: it is above the X-axis.

At what values of X does the function obtain positive Y values?

 

In the given graph, we observe that the function is above the X-axis before the point X=7, and below the line after this point. That is, the function is positive when X>7 and negative when X<7,

And this is the solution!

 

Answer

Positive 7 > x

Negative 7 < x