Question

For what value of c is the relation a function? [(2,8) (12,3) (c,4) (-1,8) (0,3)]

a -1
b 1
c 2
d 12

Answer 1

Answer: The correct option is

(b) 1.

Step-by-step explanation: We are given to find the value of c for which the following relation is a function :

R = {(2,8) (12,3) (c,4) (-1,8) (0,3)}.

We know that

a relation is a function if each first element is associated with only one second element.

Since the first elements in R are 2, 12, -1 and 0, so, the value of c cannot be equal to these four values.

Therefore, the only option for c is 1.

Thus, c = 1.

Option (b) is CORRECT.

Answer 2

1 is the only number that won't duplicate a value.