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A review of the vocabulary associated with mathematical functions

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