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Chapter 10: Q. 15 (page 1002)

In the following exercises, determine if the set of ordered pairs represents a function and if so, is the function one-to-one:

{(鈭�3,鈭�5),(鈭�2,鈭�3),(鈭�1,鈭�1),(0,1),(1,3),(2,5),(3,7)}

Short Answer

Expert verified

The set of ordered pairs is a function and the function is one-to-one also.

Step by step solution

01

Step 1. Given Information

The given ordered pair is{(鈭�3,鈭�5),(鈭�2,鈭�3),(鈭�1,鈭�1),(0,1),(1,3),(2,5),(3,7)}.

We have to determine if the set of ordered pairs represents a function and if so, is the function one-to-one.

02

Step 2. Identifying does the set of ordered pairs represents a function

An ordered pair is a function if each x-value is matched with only one y-value.

In the given set of ordered pairs, each x- value is paired with only one y-value.

Thus, the set of ordered pairs is a function.

03

Step 3. Identifying does the function is one-to-one 

A function is one-to-one if each yvalue is paired with only one x value.

In the given set of ordered pairs, the y- value is paired with only one x-value.

Thus, the function is one-to-one.

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