Question 1182384: Determine whether the set of ordered pairs is a function.
{(−8, 3), (3, 5), (5, 6), (6, 8)}
function
not a function
State the domain and range. (Enter your answers as comma-separated lists.)
domain
range
Found 3 solutions by MathLover1, Theo, ikleyn:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
By definition, the inputs in a function have only one output.
if each element in the domain is matched with exactly one element in the range, you have a function
{( ,  ), (,  ), (,  ), (, )}
(, )-> matched with
(, )-> matched with
(, )-> matched with
(,)-> matched with 
=>each element value of  is matched with exactly one  , you have a function
domain: ,,,
range:,,,
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website!
here's a reference for the definiition of a function.
https://www.purplemath.com/modules/fcns.htm
the definition is that, for each and every value of x, there can be one and only one value of y.
if you have more than one value of y for any value of x, then the relation is not a function.
the point pairs in this problem can be graphed as shown below:
with these point pairs, it is clear that any value of x in the set points to one and only one value of y, therefore the relation is a function.
Answer by ikleyn(52817)  (Show Source):
You can put this solution on YOUR website! .
In this problem, the input values (the arguments of a function) are
-8, 3, 5 and 6.
These values are ALL D I F F E R E N T; T H E R E F O R E, the question " is it a function or not "
even CAN NOT arise: surely, it is a function.
Questions may arise if and only if some input values are identical.
(which is not the case in this problem).
|
|
|
