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Analysis and Graphing of Rational Functions - Document preview page 1

Analysis and Graphing of Rational Functions - Page 1

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Analysis and Graphing of Rational Functions

An assignment focused on analyzing and graphing rational functions, using various mathematical techniques.

Evelyn Morris
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12 months ago
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Analysis and Graphing of Rational Functions - Page 1 preview imageAnalysis and Graphing of Rational FunctionsGraph Sketching ProjectName:________________________Directions:Complete each of the following problems. Be sure toshow your workin order to receive full or partial credit. Youmay use your calculator, notes, and book to complete the project. Itis not appropriate to graph the function in your calculator anddetermine any of the answers based on inspection. You mustillustrate your understanding of the calculus techniques discussedin the book.Consider the functionf(x) =-5 / (x^2–36)a.Determine the intercepts of the function.
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Analysis and Graphing of Rational Functions - Page 2 preview image
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Analysis and Graphing of Rational Functions - Page 3 preview imageb.Determine the vertical asymptote(s).
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Analysis and Graphing of Rational Functions - Page 4 preview imagec.Determine the location of any holes if theyexist (give theordered pair).
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Analysis and Graphing of Rational Functions - Page 5 preview imaged.Determine the horizontal asymptote.
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Analysis and Graphing of Rational Functions - Page 6 preview imagee.Determine the domain of the function.
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Analysis and Graphing of Rational Functions - Page 7 preview imagef.Find all thecritical valuesof the function if any exist.Give bothcoordinates (ordered pair).
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Mathematics

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