Explanation For a one-to-one function for every value of x there is only one value of y . Which makes every value of the range and domain, unique. Thus a one-to-one function is a function in which no ordered pairs are having the same second coordinate. To check for a relation to be function, the vertical line test is used in which, if a vertical line intersects the graph of a relation more than once, then it is not a function. If there is no such line then the relation is a function. To check for a function to be one-to-one the horizontal line test is used in which, if any horizontal line intersects the graph of a function more than once, the function is not one-to-one...

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 10.4, Problem 5E

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Whether a graph of a horizontal line represent a function or not. Whether it is one-to-one or not.

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Chapter 10.4, Problem 4E

Chapter 10.4, Problem 6E

Chapter 10 Solutions

Intermediate Algebra (8th Edition)

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

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Concept Check Explain how you can use a...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - For the following functions, find (a) ( f + g ) (...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - For the following functions, find (a) and (b)...Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Let , and . Find the following: 24. 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Whether a graph of a horizontal line represent a function or not. Whether it is one-to-one or not.

Solution Summary: The author explains horizontal lines represent a function and does not represent one-to-one functions.

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Whether a graph of a horizontal line represent a function or not. Whether it is one-to-one or not.

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Chapter 10 Solutions