How To Graph Rational Functions

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Graphing a rational function in linear over quadratic form algebra study

Graphing A Rational Function In Linear Over Quadratic Form Algebra Study

1 Find the y intercept 2 Simply set x 0 Everything but the constant terms vanish leaving y 5 2 Expressing this as a coordinate pair 0 5 2 is a point on the graph Graph that point 2 Find the horizontal asymptote Long divide the denominator into the numerator to determine the behavior of y for large absolute values of x In this section we will discuss a process for graphing rational functions. We will also introduce the ideas of vertical and horizontal asymptotes as well as how to determine if the graph of a rational function will have them.

Graphing rational functions worksheet

Graphing Rational Functions Worksheet

How To Graph Rational FunctionsHow To: Given a rational function, sketch a graph. Evaluate the function at 0 to find the y -intercept. Factor the numerator and denominator. For factors in the numerator not common to the denominator, determine where each factor of the numerator is zero to find the x x . Drawing the Graph of a Rational Function In this section we will use the zeros and asymptotes of the rational function to help draw the graph of a rational function We will also investigate the end behavior of rational functions Let s begin with an example