Question

State which of the following sets of ordered pairs represent a function.

Set A: (5, 2), (4, 3), (3, 4), (2, 5)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a.
Set C
b.
Set B
c.
Set A
d.
Set A and Set B


Please select the best answer from the choices provided

A
B
C
D

Answer 1

A and B represent functions.

Explanation:

In a function, any input (x-) value may have only one associated y value. If the same input appears more than once, we know immediately that the data do not represent a function.

A: The inputs are unique: {5, 4, 3, 2} so this is a function.

B: The inputs are unique: {-1, 0, 1, 3}, so this is a function.

C: 2 is used twice as input, so this is not a function.

Answer 2

d. Set A and Set B

Explanation:

We have been given three sets:

Set A: (5, 2), (4, 3), (3, 4), (2, 5)

Set B: (-1, -6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8, 4)

Now we need to state about which of the following sets of ordered pairs represent a function.

We know that a function can't have repeated values in domain that is x-value can't repeat.

we see that set C has repeated x-value "2".

Then set C is not a function.

Hence correct choice is:

d. Set A and Set B