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Analysis and Graphing of Rational Functions

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

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    Analysis and Graphing of Rational Functions Graph Sketching Project N ame:________________________ Directions: Complete each of the following problems. Be sure to show your work in order to receive full or partial credit. You may use your calculator, notes, and book to complete the project . It is not appropriate to graph the function in your calculator and determine any of the answers based on inspection . You must illustrate your understanding of the calculus techniques discussed in the book. Consider the function f(x) = - 5 / (x^2 – 36) a. D etermine the intercepts of the function.

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    b. D etermine the vertical asymptote(s).

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    c. D etermine the location of any holes if they exist (give the ordered pair).

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    d. D etermine the horizontal asymptote.

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    e. D etermine the domain of the function.

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    f. F ind all the critical values of the function if any exist. G ive both coordinates (ordered pair).

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