Rational Functions

Learning Objectives

• Write the domain of a rational function using interval notation.

• Find the intercepts of the graph of a rational function.

• Write equations for the asymptotes of a rational function.

• Describe the asymptotic behavior of a rational function using arrow notation.

• Graph rational functions.

• Identify where a 'hole' occurs when graphing a rational function.

• Solve equations involving rational expressions.

• Analyze rational functions in the context of applied problems.

• Simplify expressions involving complex fractions.

• Compute the average rate of change of a rational function.