Question 225039: Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.
{(3, 4), (5, 9), (9, 9), (2, 3)}
{(0, 0), (0, 1), (1, 4), (2, 4)}
{(2, 1), (4, 5), (8, 4), (1, 0)}
{(8, 3), (8, 0), (7, 7), (4, 7)}
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website! Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.
{(3, 4), (5, 9), (9, 9), (2, 3)}
{(0, 0), (0, 1), (1, 4), (2, 4)}
{(2, 1), (4, 5), (8, 4), (1, 0)}
{(8, 3), (8, 0), (7, 7), (4, 7)}
Rule: A function is a relation in which NO two ordered pairs
have the same first coordinate. (It can, however, have two
ordered pairs with the same second coordinate.)
{(3, 4), (5, 9), (9, 9), (2, 3)}
IS A FUNCTION because none of the four ordered pairs have
the same first coordinate. (It is OK that the middle two
ordered pairs have the same second coordinate).
{(0, 0), (0, 1), (1, 4), (2, 4)}
IS NOT A FUNCTION because the first two ordered pairs
have the same first coordinate, namely 0.
{(2, 1), (4, 5), (8, 4), (1, 0)}
IS A FUNCTION because none of the four ordered pairs have
the same first coordinates.
{(8, 3), (8, 0), (7, 7), (4, 7)}
IS NOT A FUNCTION because the first two ordered pairs
have the same first coordinate, namely 8.
Edwin
|
|
|
