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Functions
A review of the vocabulary associated with mathematical functions
| Question | Answer |
|---|---|
| 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. |
Created by:
bretschj
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