# Graphing rational functions practice

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Putting It All Together 1 - Cool Math has free online cool math lessons, cool math games and fun math activities. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. 11.1 Rational Functions Practice Problems 1. Describe the horizontal asymptotes of the following rational functions. (a) f(x) = 3x−1 2−5x y = − 3 5 (b) h(x) = x+7 x2 −6x+8 y = 0 (c) l(x) = x2 −6x+8 x+ 7 No horizontal asymptote (d) n(x) = 7x2 −3x+2x3 +6 4x−x2 −2−5x3 y = − 2 5 (e) o(x) = (2x+5)4(6−x)3 (3x−1)(x−2)6 y = − 2 3 2. 10.1 Graph Rational Functions NAME:_____ DATE:_____ Graph the following and write the equations of the horizontal asymptote and vertical asymptote. Graphing Rational Functions. How to graph a rational function? A step by step tutorial. The properties such as domain, vertical and horizontal asymptotes of a rational function are also investigated. Free graph paper is available.

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4.4: Graphing Rational Functions Practice Identify the holes, vertical asymptotes, x-intercepts, horizontal asymptote, and domain of each. Then sketch the graph. Graph a rational function given horizontal and vertical shifts. Write a rational function that describes mixing. We have seen the graphs of the basic reciprocal function and the squared reciprocal function from our study of toolkit functions.