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A review of the vocabulary associated with mathematical functions

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Relation   A mathematical relationship between quantities  
Function   A rule of correspondence that matches each item from one set with exactly one item from another set.  
Domain   The set of all possible inputs for a function  
Range   The set of all possible outputs for a function  
Inverse of a Function   Acts like an "Undo" function. If your function mapped 2 to 5, this would map 5 back to 2.  
Opposites   x and -x  
Reciprocals   x and 1/x  
One-to-one function   Each input corresponds to only one output and each output to only one input. The input and output are "married".  
Recursive Function   This type of function defines the value of an output in terms of prior outputs. It refers back.  
First Differences   Found by subtracting consecutive terms in a sequence. If these are all equal, the sequence has a linear model.  
Second Differences   Are found by subtracting consecutive first differences. If these are all equal, the sequence has a quadratic model.  
Compound or Piece-wise Defined Function   A function that has different rules that apply for different types of inputs.  
Composition of Functions   To arrange functions in a specific order. For example: First plug into f, then plug your result into g.  
Dependent Variable   A quantity whose value is based upon the value of another quantity.  
   


   


 

 

 

 

 

 
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