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# Functions

### Introduction to functions terms (Algebra I)

TermDefinition
Dependent Variable (quantity) a variable whose value depends upon input; what is being evaluated in a mathematical equation
Independent Variable (quantity) a variable that is manipulated to determine the value of a output; the value or quantity being inputted into an equation
Input the value or quantity being used to calculate/evaluate an equation
Output the value given from an equation after a calculation has been performed/executed
Function a special type of relation that pairs each domain value with exactly one range value (the x-values cannot repeat)
Nonlinear data that does not have a linear patern
Representation a table, graph, equation, verbal are the different representations possible for any given relation or function
Continuous graph graphs made with a connected line or curve
Discrete graph a graph where data is only represented by coordinate points (dots)
Linear Function a function whose graph is a line with a constant rate of change and the direction of line does not change
Domain in a relation, the set of first coordinates (or x-values) of the ordered pairs; all the x-values for a given relation or function; the input
Range in a relation, the set of second coordinates (or y-values) of the ordered pairs; all the y-values for a given relation or function; the output
Relation a set of ordered pairs
Vertical Line Test draw vertical lines over a graph and if the lines only intersect the graph once, it is a function. If any lines intersect the graph more than once, it is not a function
Function Notation In a function, if "x" is independent and "y" is dependent, the function notation for "y" is "f(x)" - read "f of x". When you see function notation, it signals that the equation and resulting relation is a function.
Created by: e040607