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# Chapter 5

### Linear Functions

TermDefinition
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 values of a function
Independent Variable The variable that represents input values of the function
Dependent Variable The variable that represents output values of a function
Relation Pairs input with output
Vertical Line Test A graph represents a function when no vertical line passes through more than one point in the graph
Discrete Domain A set of input values that only consists of numbers in an interval
Continous Domain A set of input values that consists of all numbers in an interval
Linear Function A function whose graph is a non vertical line; A linear function can be written in the form y=mx+b
Function Notation A way to name a function using f(x) instead of y, The notation 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; the most basic absolute function is f(x)=|x|
Nonlinear Function A function that does not have a constant rate of change; the graph of a nonlinear function is not a line
Sequence An ordered list of numbers
Term (of a sequence) Each number in a sequence
Arithmetic Sequence A sequence in which the difference consecutive terms is the same; This difference is called the common difference
Common Difference the difference between consecutive terms of an arithmetic sequence
Created by: 15juangra