   Chapter 7.2, Problem 4ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Let f : X → Y be a function. True or false? A sufficient condition for f to be one-to-one is that for every element y in Y. there is at most one x in X with f ( x ) = y . Example your answer.

To determine

To check:

Whether the given statement, “A Sufficient condition for f to be one-to-one is that for all elements y in Y, there is at most one x in X with f(x)=y ” is true or false.

Explanation

Given information:

f:XY be a function.

Concept used:

A function is said to be one-to-one function if, and only if, each element in the codomain of F is the image of at most one element in the domain of F.

Calculation:

One to one function: The function f:XY is said to be an one-to-one function if every element in the co-domain (Y) of the function has at most one corresponding value in the domain (X) such that f(x)=y where xX and yY

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