Write the equation of a rational function f(x) = p(x)/q(x) having the indicated properties, in which the degrees of p and q are as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties as : f has a vertical asymptote given by x = 3, a horizontal asymptote y = 0, y-intercept at -1, and no x-intercept.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Write the equation of a rational function f(x) = p(x)/q(x) having the indicated properties, in which the degrees of p and q are as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties as : f has a vertical asymptote given by x = 3, a horizontal asymptote y = 0, y-intercept at -1, and no x-intercept.

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