SOLUTION: Which sets of ordered pairs are functions? A = {(4,3),(17,29),(18,52),(4,19)} B = {(19,4),(52,18),(29,17),(3,4)} C = {69,82,44,87}

Algebra ->  Functions -> SOLUTION: Which sets of ordered pairs are functions? A = {(4,3),(17,29),(18,52),(4,19)} B = {(19,4),(52,18),(29,17),(3,4)} C = {69,82,44,87}      Log On


   



Question 941897: Which sets of ordered pairs are functions?
A = {(4,3),(17,29),(18,52),(4,19)}
B = {(19,4),(52,18),(29,17),(3,4)}
C = {69,82,44,87}

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A function is a set of ordered pairs in which no two different ordered pairs have the same x-coordinate. An equation that produces such a set of ordered pairs defines a function.
A function relates each element (x) of a set with exactly one element (y) of another set (possibly the same set).
"...each element..." means that every element in x is related to some element in y,but some elements of y might not be related to at all, which is fine
"...exactly one..." means that a function is single valued;it will not give back 2 or more results for the same input; for example, if
f%282%29+=+7 or f%282%29+=+9 is not right because value x=2(input) is related to more than one value in y(output)


C = {69,82,44,87} ....eliminate as possible answer, it's not set of ordered pairs

A = {(4,3),(17,29),(18,52),(4,19)}
value x=4(input) is related to more than one value in y=3 and y=19(2 outputs)
so, set A is not a function
then your answer is:
B = {(19,4),(52,18),(29,17),(3,4)}
all inputs or x values are different, two of them have same y which is ok