Question

1)Which of the ordered pairs is NOT a

function?
a) {(3,3),(3,4),(4,5),(4,6)}
b) {(0,8),(8,4),(2,7),(-2,6)}
c) { (-1,3), (1,7), (7,4),(-3,8) }
d) {(-6,5),(5,1), (7,4),(-3,8) }

Answer 1

a) {(3,3),(3,4),(4,5),(4,6)}

Explanation:

Given

(a) to (d)

Required

Which is not a function

A relation is represented as:

`\{(x_1,y_1),(x_1,y_1),(x_2,y_2),...............(x_0,y_0)\}`

For the relation t be a relation, then:

`x_i \\e x_j`where
`i \\e j`

This means that none of the x values must be related.

The first relation has 3 repeated as its value of . Hence, (a) is a relation