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Math Ch.5 Vocab

Linear Functions

TermDefinition
Function a relationship that pairs each input with exactly one output
Domain a 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 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 (VLT) 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 consists 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 a non vertical line; can be written in y=mx+b
Function Notation a way to name a function using f(x) instead of y; read as "f of x"
Absolute Value Function a function that has a V-shaped graph that opens up or down; most basic one is f(x)=|x|
Nonlinear Function a function that does not have a constant rate of change; not a line