SOLUTION: Why the function W=(3.24 x 10^-3)L^2 is a one to one even if it is a quadratic function?

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Question 1043701: Why the function W=(3.24 x 10^-3)L^2 is a one to one even if it is a quadratic function?

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
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Why the function W=(3.24 x 10^-3)L^2 is a one to one even if it is a quadratic function?
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1.   Definition.

     One-to-one is a function for which every element of the range of the function corresponds to exactly one element of the domain. 

     https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=one+to+one+function

     https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=one+to+one+function



2.  The natural domain of the given function   =   is the set of all real numbers.

    On this set the given function is NOT one-to-one, since every two numbers  L  and -L  of the domain map into ONE number .



3.  The given function IS one-to-one on the restricted domain  {L | L >= 0} of positive real numbers, for example.


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