Draw the graph of a rational function that is positive for x < 2 and negative for x > 2 on the coordinate plane below.

Answer 1

The rational function is positive for and negative for .

For , the rational function is positive.

Hence graph the rational function above -axis for .

For , the rational function is positive.

Hence graph the rational function below -axis for .

Consider an example satisfying the conditions is .

Graph:

Graph the rational function :

.