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Chapter 10: Q. 362 (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�3,3),(鈭�2,1),(鈭�1,鈭�1),(0,鈭�3),(1,鈭�5),(2,鈭�4),(3,鈭�2)

Short Answer

Expert verified

The set of ordered pairs is a function.

The function is one to one.

Step by step solution

01

Step 1. Given information

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

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.

It is very clear that in given set of ordered pairs each xvalue is matched with exactly only one yvalue.

Therefore, the set of ordered pairs is a function.

03

Step 3. Determine if function is one to one or not.

A function is said to be one to one, if for each ordered pair in the function, each yvalue is matched with only one xvalue.

It is very clear that in given set of ordered pairs each yvalue is matched with only one xvalue.

Therefore, the function is one to one.

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