Question

Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)

Answer 1

Given:

The relations in the options.

To find:

The relation which is a function.

Solution:

Consider the options are :

(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}

(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}

(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}

(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}

A relation is a function if there exist a unique y-value for each x-value.

In option (a), y=7 and y=1 at x=2. So, it is not a function.

In option (b), y=-3 and y=3 at x=9. So, it is not a function.

In option (c), y=0 and y=1 at x=3. So, it is not a function.

In option (d), there are unique y-value for each x-value. So, it is a function.

Therefore, the correct option is (d).