Create and draw the sketch of a graph of a rational function. The rational function needs to include the following characteristics: 1. It must be a rational function 2. It must contain exactly 2 vertical asymptotes; 3. It must contain 1 horizontal asymptote at y=0; 4. It needs to be symmetrical to the origin. 5. It will have a y intercept at 0. 6. After drawing your graph, answer the following question: Do the vertical asymptotes that you drew HAVE to be symmetrical to the y axis in order for this graph to meet the criteria? Be sure to draw it out on graph paper or your own coordinate system (This will NOT be done in Desmos).

Create and draw the sketch of a graph of a rational function. The rational function needs to include the following characteristics: 1. It must be a rational function 2. It must contain exactly 2 vertical asymptotes; 3. It must contain 1 horizontal asymptote at y=0; 4. It needs to be symmetrical to the origin. 5. It will have a y intercept at 0. 6. After drawing your graph, answer the following question: Do the vertical asymptotes that you drew HAVE to be symmetrical to the y axis in order for this graph to meet the criteria? Be sure to draw it out on graph paper or your own coordinate system (This will NOT be done in Desmos).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 8DE

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