Question

Which of the following relations represents a function?
A. {(1, 1), (1, 2), (1, 3)}
B. {(1, 1), (2, 1), (3, 1)}
C. {(1, 1), (2, 2), (3, 3)}
D. Both B and C.

Answer 1

A function may not have two y-values assigned to the same x-value, such as {(2,4), (2,6)}.

A function may, however, have two x-values assigned to the same y-value, such as {(2,4), (3,4)}.

Answer 2

There can only be one output for every input, or else it is not a a function.
In other words, if x=1, (1,2) and (1,3) would not be in a function. So D is correct.

Answer 3

thank you so much everyone for the help i greatly appreciate it

Answer 4

You're welcome. :)

Answer 5

Also if you have anymore troubles, this site is helpful http://www.regentsprep.org/regents/math/algebra/ap3/lfunction.htm

Answer 6

okay i will keep that in mind