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Question 1198334: State the domain and range. Explain how you find these mathematically without the use of a graph.
(4) y = 25(-7x-4)64
(5) y = x2 / (x2-16)
(6) 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?
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
State the domain and range. Explain how you find these mathematically without the use of a graph.
(4)  ...........assuming you have that
domain
as you can see, no matter what  is, function is defined
( , )
range
extreme points
 ..........minimum is at ( , )
so, the range for interval (,) is
(5)
domain
 ->zeros  ,
denominator cannot be zero
so,  and  and domain is
{ element  : and }
range
The range is the set of y for which the discriminant is greater or equal to zero.
 ->discriminant is
=> or 
The range is
{  element  :  or  }
(6) 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?
 because for a correspondence to be a function there must be a one-to-one correspondence.
For each value, there must be a   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.
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