By the end behavior of a function we mean the behavior of its values as x→ * and as x → -0. (a) Describe and compare the end behavior of the functions P(x) = 3x – 5x' + 2x Q(x) = 3x³ by graphing both functions in the viewing rectangles [-2, 2] by [-2, 2] and [-10, 10] by [-10,000, 10,000]. (b) Two functions are said to have the same end behavior if their ratio approaches 1 as x→ 0. Show that P and Q have the same end behavior.|

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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By the end behavior of a function we mean the behavior
of its values as x→ * and as x → -0.
(a) Describe and compare the end behavior of the
functions
P(x) = 3x – 5x' + 2x
Q(x) = 3x³
by graphing both functions in the viewing rectangles
[-2, 2] by [-2, 2] and [-10, 10] by
[-10,000, 10,000].
(b) Two functions are said to have the same end behavior
if their ratio approaches 1 as x→ 0. Show that P and
Q have the same end behavior.|
Transcribed Image Text:By the end behavior of a function we mean the behavior of its values as x→ * and as x → -0. (a) Describe and compare the end behavior of the functions P(x) = 3x – 5x' + 2x Q(x) = 3x³ by graphing both functions in the viewing rectangles [-2, 2] by [-2, 2] and [-10, 10] by [-10,000, 10,000]. (b) Two functions are said to have the same end behavior if their ratio approaches 1 as x→ 0. Show that P and Q have the same end behavior.|
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