TRIGONOMETRY-W/ACCESS >CUSTOM<
TRIGONOMETRY-W/ACCESS >CUSTOM<
11th Edition
ISBN: 9781323569757
Author: Lial
Publisher: PEARSON C
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Textbook Question
Chapter C, Problem 1E

Decide whether each relation defines a function. See Example 1.

{(5, 1), (3, 2), (4, 9), (7, 8)}

Expert Solution & Answer
Check Mark
To determine

Whether the given relation {(5,1)(3,2)(4,9),(7,8)} defines a function or not.

Answer to Problem 1E

Solution: The given relation is a function.

Explanation of Solution

Given: The relation {(5,1)(3,2)(4,9),(7,8)}.

A function is defined as a relation in which for each distinct value of the first component, there is exactly one value of the second component.

Consider the relation {(5,1)(3,2)(4,9),(7,8)}.

The set of distinct values of the first component is {5,3,4,7}.

Each element of this set is paired with exactly one value of the second component.

This correspondence is as follows:

51324978

Therefore, the relation is a function.

Hence, the relation is a function.

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Chapter C Solutions

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