SOLUTION: I was given these sets: {(5,2), (5,6), (9,2), (9,6)} {(-9,-3), (3,5), (9,9), (5,5)} and told to determine whether the relation is a function. I must also "give domain and the ra

Algebra ->  Functions -> SOLUTION: I was given these sets: {(5,2), (5,6), (9,2), (9,6)} {(-9,-3), (3,5), (9,9), (5,5)} and told to determine whether the relation is a function. I must also "give domain and the ra      Log On


   



Question 1022211: I was given these sets: {(5,2), (5,6), (9,2), (9,6)}
{(-9,-3), (3,5), (9,9), (5,5)}
and told to determine whether the relation is a function. I must also "give domain and the range of the relation." Any help would be very much appreciated. Thank you.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
{(5,2), (5,6), (9,2), (9,6)}
domain: all values of x
5,9
range:all values of y
2,6

{(-9,-3), (3,5), (9,9), (5,5)}
domain: all values of x
-9,3,5,9
range:all values of y
-3,5,9

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.
Just remember:
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)}.
as you can see here {(5,2), (5,6), (9,2), (9,6)} element x=5 has two y-element associated with it, y=2 and y=6
also element x=9 has two y-element associated with it, y=2 and y=6; so, the relation is not a function
{(-9,-3), (3,5), (9,9), (5,5)}
each x is associated with one y, even have two x-values assigned to the same y-value;so, the relation is a function