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.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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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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