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Chapter 10: Q. 360 (page 1061)

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

(鈭�3,鈭�5),(鈭�2,鈭�4),(鈭�1,鈭�3),(0,鈭�2),(鈭�1,鈭�1),(鈭�2,0),(鈭�3,1)

Short Answer

Expert verified

The set of ordered pairs is not a function.

Step by step solution

01

Step 1. Given information

The given set of ordered pairs is(鈭�3,鈭�5),(鈭�2,鈭�4),(鈭�1,鈭�3),(0,鈭�2),(鈭�1,鈭�1),(鈭�2,0),(鈭�3,1)

02

Step 2. Determine if it represents a function or not.

A set of ordered pairs is said to be function, if for each input or xvalue there is exactly one yvalue or output.

From the ordered pairs (-2,-4)and (-2,0), it is very clear that the xvalue is matched with two yvalues.

Therefore, the set of ordered pairs is not a function.

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