Use the graph of the rational function, g(x), pictured below to answer the following questions: a)...
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Use the graph of the rational function, g(x), pictured below to answer the following questions: a) Complete the following statements: 2+ As x-o, the graph of g(x)-- As x-3*, the graph of g(x)-_ As x-17, the graph of g(x). b) What factor is guaranteed to be in both the numerator and denominator of the equation of g(x)? Justify your answer. -10 $ 10 c) What factor is guaranteed to be in the denominator of g(x) but not in the numerator? Justify your answer. d) If g = 0, what factor is guaranteed to be in the numerator but not in the denominator? Justify. e) Identify the horizontal asymptote and hence write the equation of g(x). 5 Use the graph of the rational function, g(x), pictured below to answer the following questions: a) Complete the following statements: 2+ As x-o, the graph of g(x)-- As x-3*, the graph of g(x)-_ As x-17, the graph of g(x). b) What factor is guaranteed to be in both the numerator and denominator of the equation of g(x)? Justify your answer. -10 $ 10 c) What factor is guaranteed to be in the denominator of g(x) but not in the numerator? Justify your answer. d) If g = 0, what factor is guaranteed to be in the numerator but not in the denominator? Justify. e) Identify the horizontal asymptote and hence write the equation of g(x). 5
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Related Book For
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
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