Question

Which of the following is a function?A. {(1,2), (-2,3), (1,3), (-2,2)}B. {(2,9), (2,8), (-3,7), (-3,6)}C. {(2,1), (4,2), (6,3), (8,4)}D. {(-4,3), (1,0), (1,2), (2,3)}

Answer 1

The correct option is C.

Step-by-step explanation:

Since we know that in a function each element in the domain is mapped to only one element in the Co-Domain

or each element of Domain has only one image in Co-Domain.

Since, in the option A. the element 1 has two images 1 and 3,

Hence, it is not a function

Similarly in option B, 2 has two images 9 and 8,

Hence it is not a function.

also, in option D, 1 is connected to 0 and 2, which is not possible in a function, Hence it is not a function.

Now, in set C. each element has unique image, Therefore, option C represents a function.