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Rational Functions

© Dr. Laura J. Pyzdrowski

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About this Laboratory

A rational function is the ratio of two polynomials. In this laboratory, we will explore the graphs of rational functions. You will be expected to accurately sketch such functions and label all important features on the graph. Before you begin exploring the features of a rational function, you should make sure that there are no common factors in the numerator and denominator. This process of simplification to "reduced form" is necessary for the analysis described in this laboratory. In this laboratory, all answers in decimal form should be within 0.1 and all asymptotes should be expressed as equations. Exact solutions for intercepts and asymptotes should be found algebraically and confirmed graphically. ************************************************************************************