Question 1195917: Determine whether the relation is a function.
t{(4,8),(20,-9),(36,8),(4,6),(50,6)}
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! Determine whether the relation is a function.
t{(4,8),(20,-9),(36,8),(4,6),(50,6)}
to determine whether the relation is a function, we look at the inputs and outputs;
A relation is a function if the  -values map to only one  -value. In other words, if a relation is one-to-one or many-to-one it is a function.
One-to-one: Each -value corresponds to one distinct -value
Many-to-many: Multiple -values correspond to multiple -values.
in your case
x-values are:  , , ,,
y-values are:  , ,, ,
Since x=4produces y=8 and y=6, the relation t{(4,8),(20,-9),(36,8),(4,6),(50,6)} is  a function.
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website!
Answer: No, it is not a function.
Reason:
The input x = 4 leads to multiple outputs (y = 8 and y = 6) at the same time. This is due to the points (4,8) and (4,6)
For a function to be possible, any input must lead to exactly one and only one output.
A quick way to check if we have a function or not is to see if x repeats itself.
If x repeats itself, then we don't have a function.
The y values can repeat, but the function won't be one-to-one.
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