Sketch the graph of a function that has exactly two horizontal asymptotes. Find the limit (if it exists): lim 27x3+51x2-17 81x3+68x2+5x+8* x 00 For this problem, let f(r) be the function f(x) = x³ – 22x? + 147x – 256. | (a) Explain why Rolle's Theorem applies to f(x) on the interval [3, 9]. (b) State the conclusion of Rolle's Theorem for part(a), and find any points guaranteed by the theorem.

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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Sketch the graph of a function that has exactly two horizontal asymptotes.
Find the limit (if it exists): lim
27x3+51x2-17
81a3+68x2+5x+8'
For this problem, let f(x) be the function f(x) = x³ – 22x² + 147x – 256.
(a) Explain why Rolle's Theorem applies to f(x) on the interval [3, 9].
(b) State the conclusion of Rolle's Theorem for part(a), and find any points guaranteed
by the theorem.
Transcribed Image Text:Sketch the graph of a function that has exactly two horizontal asymptotes. Find the limit (if it exists): lim 27x3+51x2-17 81a3+68x2+5x+8' For this problem, let f(x) be the function f(x) = x³ – 22x² + 147x – 256. (a) Explain why Rolle's Theorem applies to f(x) on the interval [3, 9]. (b) State the conclusion of Rolle's Theorem for part(a), and find any points guaranteed by the theorem.
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