Learn how to find vertical asymptotes and holes in rational functions by mastering the factor by grouping technique. This tutorial walks through the step-by-step process of simplifying complex ...

Learn how to identify vertical asymptotes in rational functions. This example walks through the steps to analyze your graph.

A worksheet on simplifying, adding, subtracting, multiplying and dividing rational expressions. Some exercises require to factorize expressions by taking out the common factor or quadratic expressions ...

A worksheet on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots). Detailed solutions are included.