Suppose that a > 0. Which of the following functions has all of these features?  one negative x-intercept  one positive y-intercept  one horizontal asymptote  one vertical asymptote A. f(x) = 1-7x/x2+a  B. f(x) = x+7/a-x  C. f(x) = a-x/x+7  D. f(x) = x+7/x2+a  E. f(x) = x2+a/x-7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Suppose that a > 0. Which of the following functions has all of these features? 

  • one negative x-intercept 
  • one positive y-intercept 
  • one horizontal asymptote 
  • one vertical asymptote

A. f(x) = 1-7x/x2+a 

B. f(x) = x+7/a-x 

C. f(x) = a-x/x+7 

D. f(x) = x+7/x2+a 

E. f(x) = x2+a/x-7

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