Rational expressions, equations, and functions

Rational expressions are like fractions, but instead of integers in the numerator and the denominator, you have variable expressions! Learn how to work with such expressions. Namely, simplify, add, subtract, multiply, and divide them (much like fractions!). Then, solve some equations with rational expressions in them, and analyze the behavior of rational functions.
20 exercises available

Learn what rational expressions are and about the values for which they are undefined.

Learn how to simplify rational expressions that contain further rational expressions within their numerators or denominators.

Learn about direct and inverse variation, which are two types of relationships between two quantities. Direct variation is simply a proportional relationship, but inverse variation is more complicated and interesting. Gain some experience with it before we dive deeper into the world of rational functions.

Learn about the ways in which rational functions behave as x approaches positive or negative infinity. This gets interesting Learn how to determine this behavior for any kind of rational function.

Learn about the ways in which rational functions behave when their denominator is equal to zero. This gets interesting when vertical asymptotes are involved! Learn how to determine this behavior for any kind of rational function.