Range of power functions Using words and figures, explain whythe range of f1x2 = xn, where n is a positive odd integer, is allreal numbers. Explain why the range of g1x2 = xn, where n is apositive even integer, is all nonnegative real numbers.

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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Range of power functions Using words and figures, explain why
the range of f1x2 = xn
, where n is a positive odd integer, is all
real numbers. Explain why the range of g1x2 = xn
, where n is a
positive even integer, is all nonnegative real numbers.

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