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Chapter 2: Q1. (page 60)

Write a relation of four ordered pairs that is not a function.

Short Answer

Expert verified

The required relation is R=-1,2,0,3,0,5,1,4.

Step by step solution

01

– Definition of function.

A relation is a function if each element of the domain is paired with exactly one element of the range.

A relation is not a function if there exist an element in the domain paired with more than one element of the range.

02

– Given information.

The relation contains four ordered pairs and the relation is not a function.

03

– Write the required relation.

The relation is not a function it means there exist at least two ordered pairs in which the x-coordinate are the same and the y-coordinates are different.

Let a relation of four ordered pairs.

R=-1,2,0,3,0,5,1,4

This relation is not a function because 0 in the domain is paired with both 3 and 5 in the range.

Thus, the required relation is R=-1,2,0,3,0,5,1,4.

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