Question

Identify the relation that is also a function. A. {(-1, 1) (0, 0) (1, 1) (2, 4)} B. {(3, 4) (2, 3) (3, 6) (2, 0)} C. {(1, 0) (2, 3) (3, -2) (1, 6)} D. {(3, 2) (3, -2) (3, 6) (3, 8)}

Answer 1

Explanation:

We are given four sets of relations as

`A. {(-1, 1) (0, 0) (1, 1) (2, 4)} \\B. {(3, 4) (2, 3) (3, 6) (2, 0)} \\C. {(1, 0) (2, 3) (3, -2) (1, 6)} \\D. {(3, 2) (3, -2) (3, 6) (3, 8)}`

A function is a relation in which every element in the first set has a unique image in the second set.

Let us check this aspect to A.

This is a function

Now come to B. 3 has two images 4 and 6. so not a function

Next is C. in C 1 has two images 0 and 6. So not a function

For D, 3 has 4 images so not a function.