### Identifying Horizontal Asymptotes of a Rational FunctionConsider the rational function:\[ q(x) = \frac{-5x^2 + 5x - 4}{x^2 + 2} \]#### (a) Identify the horizontal asymptotes (if any).#### (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable.Options:- ○ The graph has no horizontal asymptotes.- ● The graph has at least one horizontal asymptote.Below are the fields for your answers:- **Equation(s) of the horizontal asymptote(s)**: \( y = -5 \)- **Crossover point(s)**: (input box for crossover points if any)#### DiagramsOn the right side, there are options to select multiple points or ranges using rectangular selection tools.Feel free to input the necessary values and confirm your answers by using the provided tools.

Answered: Image /qna-images/answer/f444c59a-f886-4a87-843e-426652a6b1fe.jpg

For q (x)= -5x+5x-4 x²+2 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable. The graph has no horizontal asymptotes. O The graph has at least one horizontal asymptote. Equation(s) of the horizontal asymptote(s): y = -5 Crossover point(s): 0,0... 010 X 0=0 (0,0) None S

For q (x)= -5x+5x-4 x²+2 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph crosses the horizontal asymptote(s). Separate multiple equations of asymptotes with commas as necessary. Select "None" if applicable. The graph has no horizontal asymptotes. O The graph has at least one horizontal asymptote. Equation(s) of the horizontal asymptote(s): y = -5 Crossover point(s): 0,0... 010 X 0=0 (0,0) None S

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section: Chapter Questions

Problem 25RE

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