### Home > PC3 > Chapter 6 > Lesson 6.2.3 > Problem6-115

6-115.

This problem is a checkpoint for transformations of rational functions. Graph each of the following rational functions. State the locations of any asymptotes.

1. $r(x) = \frac { 1 } { x + 2 }+ 5$

1. $q(x) =\frac { 2 x } { x + 1 }$

1. $t(x)=\frac{4x-1}{x-5}$

Ideally at this point you are comfortable working with these types of problems and can complete them correctly. If you feel that you need more confidence when completing these types of problems, then review the Rational Functions Checkpoint materials available at cpm.org and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.

Answers and extra practice for the Checkpoint problems are located in the Reference Tab of your eBook.
Click the following link: Rational Functions