### Concept (1)

: The graph of a basic rational function (1/x) is easy to do by plotting key points. When **graphing rational functions**, the functions are asymptotic to either the x-axis and y-axis or to certain lines if there are shifts in the graphs. More complex graphs of rational functions include functions with graph shifts.

### Sample Problems (12)

Need help with "Graphing a Rational Expression" problems?

Watch expert teachers solve similar problems to develop your skills.

Problem 1

How to transform the graph of a rational equation up and down.

Problem 2

How to transform the graph of a rational equation side to side.

Problem 3

How to transform the graph of a rational equation upside-down.

Problem 4

Using transformations to graph rational functions.

Problem 5

Finding the discontinuities or domain restrictions of rational functions, including vertical asymptotes and holes.

Problem 6

How to graph rational functions using key features.

Problem 7

Finding x and y-intercepts of rational functions.

Problem 8

Finding the horizontal asymptote of a rational function and determining whether or not the graph will cross it.

Problem 9

Solving rational inequalities graphically

Problem 10

Finding discontinuities (holes and vertical asymptotes) of rational functions

Problem 11

Graphing rational functions using transformations.

Problem 12

Writing a possible rational function from given key features.