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chapter 5 vocab

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
Created by: AARON LEMISE