Explanation Given information: Given function is f ( x ) = x 2 + 2 Concept used: One to one function: A function f ( x ) is called one to one function if for every element of the range corresponds to exactly one element of the domain. That is, f ( x 1 ) = f ( x 2 ) ⇒ x 1 = x 2 Consider the function, f ( x ) = x 2 + 2 Now put x = 0 in the function, f ( 0 ) = ( 0 ) 2 + 1 = 1 Put x = 1 and − 1 in function, f ( 1 ) = ( 1 ) 2 + 1 = 2 f ( − 1 ) =</

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 7.2, Problem 2E

To determine

To calculate: The domain on which the function f(x)=x2+2 is one to one.

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Chapter 7.2, Problem 1E

Chapter 7.2, Problem 3E

Chapter 7 Solutions

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The domain on which the function f ( x ) = x 2 + 2 is one to one.

Solution Summary: The author explains that the function f(x)=x 2+2 is one to one for every element of the range.

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To calculate: The domain on which the function f(x)=x2+2 is one to one.

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Chapter 7 Solutions