4. Which of the following is true about horizontal asymptotes? a. All rational functions have at least one horizontal asymptote. b. A function has a horizontal asymptote at a value of x = n if the function value is undefined at x = n and as x → n* and/or as x → n¯ the function value increases or decreases without bound. c. A function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f (x) → a as x → o or x →

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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4. Which of the following is true about horizontal asymptotes?
a. All rational functions have at least one horizontal asymptote.
b. A function has a horizontal asymptote at a value of x = n if the function value is
undefined at x = n and as x → n* and/or as x → n¯ the function value increases or
decreases without bound.
c. A function has a horizontal asymptote at the value of y = a if the line y = a can be
used to estimate the end behavior of a function and if f (x) → a as x → o or x →
-0.
All horizontal asymptotes describe what happens when x gets close to 0.
All horizontal asymptotes describe what happens when the denominator's value gets
Transcribed Image Text:4. Which of the following is true about horizontal asymptotes? a. All rational functions have at least one horizontal asymptote. b. A function has a horizontal asymptote at a value of x = n if the function value is undefined at x = n and as x → n* and/or as x → n¯ the function value increases or decreases without bound. c. A function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f (x) → a as x → o or x → -0. All horizontal asymptotes describe what happens when x gets close to 0. All horizontal asymptotes describe what happens when the denominator's value gets
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