   Chapter 7.1, Problem 3ES ### 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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# Indicate whether the statement in parts (a)-(d) are true or false for all functions. Justify your answers. If two elements in the domain of a function are equal, then their images in the co-domain are equal. If two elements in the co-domain of a function are equal, then their preimages in the domain are also equal.A function can have the same output for more than one input.A function can have the same input for more than one output.

To determine

(a)

Indicate whether the statements are true or false.

If two elements in the domain of a function are equal, then their images in the co-domain are equal.

Explanation

Given information:

If two elements in the domain of a function are equal, then their images in the co-domain are equal.

Concept used:

Different elements only have to be matched to different images.

Calculation:

If two elements in t...

To determine

(b)

If two elements in the co—domain of a function are equal, then their preimages in the domain are also equal.

To determine

(c)

The given statement is true or false.

A function can have the same output for more than one input.

To determine

(d)

A function can have the same input for more than one output.

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