1. horizontal versus oblique asymptote a. under what circumstances does a rational function have a horizontal asymptote...

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1. horizontal versus oblique asymptote

a. under what circumstances does a rational function have ahorizontal asymptote of y=0

b. under what circumstances does a rational function have ahorizontal asymptote that is not y=0

c. under what circumstances does a rational function have anoblique asymptote

d. find horizontal and /or oblique asymptote for each of thefollowing

i. f(x)=x^2-3x+8/x+1

ii. g(x)=4/x+1

iii. h(x)=3x+4/x+1

e. what are the vertical asymptote for each of the functions f,g, and h in problem 1d?

Answer & Explanation Solved by verified expert
4.4 Ratings (1104 Votes)
1a When a rational function fx pxqxwhere px and qx are polynomials in a single variable x and when n m where n and m are the degrees of the numerator and the denominator respectively then the line y 0 ie the XAxis is a    See Answer
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