Category Archives: Lesson 12: Rational Equations and Functions

3. Performing Operations with Rational Expressions and Functions

Rational Expressions Performing operations on rational expressions is similar to performing operations on numerical fractions. Any common factors in the numerator and denominator should be divided out, and the original expression should be used when finding excluded values. The following … Continue reading

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2. Graphing Rational Functions

As we saw in the previous section, the graphs of inverse variations are hyperbolas. Hyperbolas have their own special traits just like parabolas and can be sketched using the same processes. The graphs of the parent function:  and the generic … Continue reading

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1. Modeling Direct and Inverse Variation with Rational Functions

Direct and inverse variation are two common relationships in mathematics that can be seen easily graphically. When thinking of direct variation you want to think of things that grow or shrink concurrently. For example, the number of cars in a … Continue reading

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