Question

Which relation is a function?

A. {(1, 2), (2, 3), (3,  2), (2, 1)}

​B. {(4, 2), (3, 3), (2,  4), (3, 2)}

C. {(1, −1), (−2, 2), (−1,  2), (1, −2)}

D. {(1, 4), (2, 3), (3,  2), (4, 1)}

Answer 1

D

Explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3, 2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

​B. {(4, 2), (3, 3), (2, 4), (3, 2)}

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1, 2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3, 2), (4, 1)}

This doe NOT repeat. Function.