Question

1. Is the relation {(0,0), (1,1), (2,4), (3,9), .... (n, n)...)?​

Answer 1

Answer:

the relation {(0,0), (1,1), (2, 4), (3,9), … (n,n2), …} a function? 1. See answer.

Answer 2

Step-by-step explanation:

For a relation to be represented as function, must have unique solution of each x.

suppose A = {4} & B= {2,-2}

f(x) = √x, say domain is A, so

=> f(4) = √4 = ± 2, means f(4)=2 & f(4)=-2.

It gives two values of same domain.

Hence, this is not a function.

In given,

Relation is f(x) = x², it will give only one value for each x. So this can be a function.