Decide whether each relation defines a function . See Example 1. {(5, 1), (3, 2), (4, 9), (7, 8)}

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Answer 1

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

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

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Answer 2

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

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

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Answer 3

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

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

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Answer 4

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

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

Answer 8

Expert Solution & Answer

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

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

Answer 12

Answer to Problem 1E

Solution: The given relation is a function.

Answer 13

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:

5→13→24→97→8

Therefore, the relation is a function.

Hence, the relation is a function.

Answer 14

Ch. C - Decide whether each relation defines a function....Ch. C - Prob. 2E Ch. C - Decide whether each relation defines a function....Ch. C - Decide whether each relation defines a function....Ch. C - Prob. 5E Ch. C - Decide whether each relation defines a function....Ch. C - Prob. 7E Ch. C - Prob. 8E Ch. C - Prob. 9E Ch. C - Prob. 10E

Decide whether each relation defines a function . See Example 1. {(5, 1), (3, 2), (4, 9), (7, 8)}

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Answer to Problem 1E

Explanation of Solution

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Chapter C Solutions