Question

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

Answer 1

C is the function.

Explanation:

C is the only relation which is one-to-one. Each value of x is different and maps to a different value of y.

A for example is one-to-many because 1 maps to 0 and 1 maps to 6 so it is not a function.

Answer 2

C. {(-1, 1) (0, 0) (1, 1) (2, 4)}

Explanation:

A relation is not a function if values of the independent variable are repeated.

A: (1, -) appears twice

B: (3, -) appears 4 times

C: a function

D: (3, -) appears twice; (2, -) appears twice