Question

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

Answer 1

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

Answer 2

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.