The piecewise function, k(x), above has a vertical asymptote at the line x = 9, and a horizontal asymptote at the line y= 1, for x >9. a. Where is this function discontinuous? Justify your answer. b. At what point(s) on this function does the two-sided limit of the function not exist? Justify your answer. c. Find the limits of this function as x approaches positive and negative infinity. Write your answer using proper limit notation.

The piecewise function, k(x), above has a vertical asymptote at the line x = 9, and a horizontal asymptote at the line y= 1, for x >9. a. Where is this function discontinuous? Justify your answer. b. At what point(s) on this function does the two-sided limit of the function not exist? Justify your answer. c. Find the limits of this function as x approaches positive and negative infinity. Write your answer using proper limit notation.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.8: Work Problems

Problem 2MRE

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Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.

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