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Chapter 1: Q28. (page 50)

Determine whether each relation is a function.

{(4,5),(3,鈭�2),(鈭�2,5),(4,7)}

Short Answer

Expert verified

The given relation is not a function.

Step by step solution

01

Step 1. Definition of function.

A function is defined as the relation between two sets that maps elements of the first to a unique element of the second set.

02

Step 2. Concept Used.

And it is denoted asf:A鈫�B which shows that function f maps every element of set A to a unique element of set B.

03

Step 3. Observation from the given relation.

Observe that in the first and last ordered pair, the x-coordinate has two different y-coordinates. The x-value 4 has two different y-values as 5 and 7.

Since each element of the domain does not have a unique value in the range, the relation is not a function.

Thus, the given relation is not a function.

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