Question

Which relation is a function?
A.
(3, –2), (4, 6), (–2, 6), (3, 1)
B.
(–1, 4), (3, 2), (4, –2), (2, 4)
C.
(2, –7), (–8, 2), (2, 4), (–1, 5)
D.
(2, 2), (–3, –4), (–3, 1), (–2, 1)

Answer 1

A function is a set of ordered pairs in which no two ordered pairs have the same first number.

Answer 2

look for the one that has only one value of y for any particular value of x.

@mertsj that's actually overly restrictive.

Answer 3

so it would be B

Answer 4

yes. all others have multiple values of y for some value of x.

Answer 5

thank you!

Answer 6

@whpalmer4 please elaborate

Answer 7

it's not a problem to have multiple ordered pairs with the same x value so long as they all have the same y value.

Answer 8

it's only if there are multiple y values for any value of x that the relationship is not a function.

Answer 9

(1,1), (1,1), (2,3) is a function. for each value of x there is a unique value of y.
(1,1), (1,2), (2,3) is not a function. for x=1 there are two values of y

Answer 10

multiple ordered pairs with the same x value so long as they all have the same y value. Would you please list some examples of that statement?

Answer 11

A function is a relation that uniquely associates members of one set with members of another set.

Answer 12

:? R U GUYS OK?

Answer 13

(1,1), (1,1), (2,3) is a function. Of course that is a function. No two ordered pairs have the same first number. (1,1) and (1,1) are not two ordered pairs.

Answer 14

Again: a function is a relation that uniquely associates members of one set with members of another set. The first set here is (1,1,2). The second set is (1,1,3). 1->1, 1->1, 2->3. 1 is uniquely associated with 1. 2 is uniquely associated with 3.

Answer 15

can you guys help me with another question?