SOLUTION: Decide whether the relation is a function. {(1, -9), (3, 7), (4, -2), (8, -2), (11, 4)}

Algebra ->  Functions -> SOLUTION: Decide whether the relation is a function. {(1, -9), (3, 7), (4, -2), (8, -2), (11, 4)}      Log On


   



Question 899892: Decide whether the relation is a function.
{(1, -9), (3, 7), (4, -2), (8, -2), (11, 4)}

Found 3 solutions by ewatrrr, richwmiller, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

{(1, -9), (3, 7), (4, -2), (8, -2), (11, 4)}
Ordered pairs(x,y)(4, -2), (8, -2), , 4 and 8 have same y-values.
relation a function? NO

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Not a function
Two different x's yield the same y
(4, -2), (8, -2)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
A function is a special type of relation.
If for any value that is the+first in an ordered
pair, there is only one value that is the (x) second
value (y) in any of the ordered pairs, then the
relation is a FUNCTION. Or, a function is only if for every x there is only ONE y+. But if 2 different x values have the same y value, it's still a function.

you have {(1, -9), (3, 7), (4, -2), (8, -2), (11, 4)}
since in pairs (4, -2) and (8, -2), values x=4 and x=8 have same value y=-2, it IS a FUNCTION because if 2 different x values have the same y value, it's still a function