krystinayagel013
03.02.2020 •
Mathematics
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
select the best answer from the choices provided
a
b
c
d
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Ответ:
d. Set A and Set B
Step-by-step 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
Ответ:
A and B represent functions.
Step-by-step 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.
Ответ: