Question

Which of the following lists of ordered pairs is a function?

A. (1, 2), (1,-2), (3, 2), (3, 4)
B. (2, 4), (0, 2), (2, -4), (5,3)
c. (1,6), (2, 7), (4, 9), (0,5)
D. (0,2), (2,3), (0, -2), (4,1)​

Answer 1

Option C is correct.

Explanation:

Function is a Relation from set A to Set B whose every element of set A has one and only one image in Set B.

Option A).

(0,2) , (2,3) , (0,-2) , (4,1)

here 0 has two image 2 and -2.

So, this is not function.

Option B).

(1,2) , (1,-2) , (3,2) , (3,4)

here 1 has two image 2 and -2.

So, this is not function.

Option C).

(1,6) , (2,7) , (4,9) , (0,5)

Here every element has only one image.

So, this is a function.

Option D).

(2,4) , (0,2) , (2,-4) , (5,3)

here 2 has two image 4 and -4.

So, this is not function.

Therefore, Option C is correct.