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Chapter 10: Q. 14 (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:

{(9,鈭�3),(4,鈭�2),(1,鈭�1),(0,0),(1,1),(4,2),(9,3)}

Short Answer

Expert verified

The set of ordered pairs is neither a function nor one-to-one.

Step by step solution

01

Step 1. Given Information

The given ordered pair is{(9,鈭�3),(4,鈭�2),(1,鈭�1),(0,0),(1,1),(4,2),(9,3)}.

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 (9,-3)and(9,3), the x- value has more than one y-value.

Thus, the set of ordered pairs is not 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.

The given set of ordered pairs is not a function, so it can't be one-to-one.

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