Explanation Given information: h ( t ) = ( t − 3 ) 2 Formula used: The Horizontal Line Test states that a function is one-to-one at the points at which a horizontal line will cross the function once at most. Therefore, we can only take half of the parabola h ( t ) = ( t − 3 ) 2 . Calculation: Consider the graph of h ( t ) = ( t − 3 ) 2 . Note that the Horizontal Line Test states that a function is one-to-one at the points at which a horizontal line will cross the function once at most. Therefore, we can only take half of the parabola h ( t ) = ( t − 3 ) 2 .Thus, h ( t ) is one-to-one on [ 3 , ∞ ) or ( − ∞ , 3 ] . For suppose we consider the domain as [ 3 , ∞ ) then y = h ( t ) = ( t − 3 ) 2 ( t ≥ 3 ) t − 3

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ISBN: 9781319309671

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 1, Problem 61CRE

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Find a domain on which h(t)=(t−3)2 is one to one and determine the inverse on this domain.

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Chapter 1, Problem 60CRE

Chapter 1, Problem 62CRE

Chapter 1 Solutions

CALCULUS: EARLY TRANS 4TH ED W/ ACCESS

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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Find a domain on which h ( t ) = ( t − 3 ) 2 is one to one and determine the inverse on this domain.

Solution Summary: The author explains that the Horizontal Line Test states that a function is one-to-one at the points at which the horizontal line will cross the function once at most.

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Find a domain on which h(t)=(t−3)2 is one to one and determine the inverse on this domain.

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Chapter 1 Solutions