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chapter 5 vocab
Term | Definition |
---|---|
Function | A relationship that pairs each input with exactly one output |
Domain | The set of all input values of a function |
Range | the set of all output numbers of a function |
Independent variable | The variable that represents input values of a function |
Dependent Variable | The variable that represents output values of a function |
Relation | Pairs inputs with Outputs; A relation that pairs each input with exactly one output is a function. |
Vertical line Test | A graph represents a function when no vertical line passes through more than one point on the graph. |
Discrete Domain | A set of input values that consist of only certain numbers in an interval. |
Continuous Domain | A set of input values that consists of all numbers in an interval |
Linear Function | A function whose graph is nonvertical line; A linear function can be written in the form y=mx+b |
Function Notation | A way to name a function using f(x) is read as "the value of f at x" or "f of x" |
Piecewise Function | A function defined by two or more equations |
Step Function | A piecewise function defined by constant values over its domain |
Absolute value function | A function that has a V-shaped graph that opens up or down. |
Sequence | An ordered list of numbers |
Term of sequence | Each number in a sequence; Each term An has a specific position n in the sequence |
Arithmetic Sequence | A sequence in which the difference between consecutive terms n the same; this difference is called the common difference. |
Common Difference | The difference between consecutive terms of an arithmetic sequence |