SOLUTION: I don't see why this problem wouldn't be a function can someone please explain it to me? Let �M� be the set of motor vehicle owners who are registered in Ohio. Let �R� be the s

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Question 385397: I don't see why this problem wouldn't be a function can someone please explain it to me?
Let �M� be the set of motor vehicle owners who are registered in Ohio. Let �R� be the set of all motor vehicle registration numbers. Is the correspondence between M and R a function? Why, or why not?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
No because for a correspondence to be a function there must be a one-to-one correspondence.
For each x value, there must be a unique y value.
For cars, this means that each owner can only register one car in his or her name.
As you know, some people have only one car but many people have multiple cars in their name.
So there is not a one-to-one correspondence, so it can't be a function.
.
.
.
However, the other way around it would work because each registration number (VIN number) can only have one owner. So R(M) is a function but M(R) is not.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
I don't see why this problem wouldn't be a function can someone please explain it to me?
Let �M� be the set of motor vehicle owners who are registered in Ohio. Let �R� be the set of all motor vehicle registration numbers. Is the correspondence between M and R a function? Why, or why not?
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The domain is vehicle owners
The range is vehicle registration numbers.
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A particular owner may have more than one vehicle
so there would be more than one number associated
with that domain element. That contradicts the
definition of "function".
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cheers,
Stan H.