Consider a rational function f that satisfies the following conditions. lim f(x) = 0, lim f(x) = -00, f(3) = 0, x → ±00 lim_ f(x) = 0, X-6 lim f(x) = -00, x+6+ Find the factors of the denominator of f corresponding to the vertical asymptotes. (Enter your answers as a comma-separated list. Enter at least one expression for each vertical asymptote.) Find the factors of the numerator of f corresponding to the x-intercepts. (Enter your answers as a comma-separated list. Enter at lest one expression for each x-intercept.) f(x) = Which of the following must be true? O The degree of the numerator is greater than the degree of the denominator. O The degree of the denominator is greater than the degree of the numerator. O The degrees of the numerator and the denominator are equal. Find an equation for f.

Consider a rational function f that satisfies the following conditions. lim f(x) = 0, lim f(x) = -00, f(3) = 0, x → ±00 lim_ f(x) = 0, X-6 lim f(x) = -00, x+6+ Find the factors of the denominator of f corresponding to the vertical asymptotes. (Enter your answers as a comma-separated list. Enter at least one expression for each vertical asymptote.) Find the factors of the numerator of f corresponding to the x-intercepts. (Enter your answers as a comma-separated list. Enter at lest one expression for each x-intercept.) f(x) = Which of the following must be true? O The degree of the numerator is greater than the degree of the denominator. O The degree of the denominator is greater than the degree of the numerator. O The degrees of the numerator and the denominator are equal. Find an equation for f.

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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