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a) Will the reciprocal function be increasing or decreasing? b) Will there ever be any horizontal asymptotes for the function? If so, where? c) Will there ever be any horizontal asymptotes for the reciprocal function? If so, where? d) Will there ever be any vertical asymptotes for the function? If so, where? e) Will there ever be any vertical asymptotes for the reciprocal function? If so, where? f) Graph an increasing linear function y = ax + b and its reciprocal function to indicate that your answer is correct.

a) Will the reciprocal function be increasing or decreasing? b) Will there ever be any horizontal asymptotes for the function? If so, where? c) Will there ever be any horizontal asymptotes for the reciprocal function? If so, where? d) Will there ever be any vertical asymptotes for the function? If so, where? e) Will there ever be any vertical asymptotes for the reciprocal function? If so, where? f) Graph an increasing linear function y = ax + b and its reciprocal function to indicate that your answer is correct.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Evaluate the following question. Show your work.

9. f(x) is a linear function: y = ax + b which is increasing for x = R. a) Will the reciprocal function be increasing or decreasing? b) Will there ever be any horizontal asymptotes for the function? If so, where? c) Will there ever be any horizontal asymptotes for the reciprocal function? If so, where? d) Will there ever be any vertical asymptotes for the function? If so, where? e) Will there ever be any vertical asymptotes for the reciprocal function? If so, where? f) Graph an increasing linear function y = ax + b and its reciprocal function to indicate that your answer is correct.
Transcribed Image Text:9. f(x) is a linear function: y = ax + b which is increasing for x = R. a) Will the reciprocal function be increasing or decreasing? b) Will there ever be any horizontal asymptotes for the function? If so, where? c) Will there ever be any horizontal asymptotes for the reciprocal function? If so, where? d) Will there ever be any vertical asymptotes for the function? If so, where? e) Will there ever be any vertical asymptotes for the reciprocal function? If so, where? f) Graph an increasing linear function y = ax + b and its reciprocal function to indicate that your answer is correct.
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