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closed form

the ability to determine the nth term directly

continuous function

a function in which the graphed points are connected

discrete function

a function in which the graphed points are not connected

domain

which is the set of inputs for the function

ellipsis

three dots with a list of terms

even function

the graph is symmetric with respect to the y-axis

finite

bounded number of terms

function notation

provides an efficient way to determine the communicate functions, using f(x)

infinite

unbounded number of terms

odd function

the graph is symmetric about the origin

parent function

the most basic representation of the family of graphs

range

which is the set of outputs for the function

recursive

a consistent pattern in which each term relates to the previous term

rule or statement of correspondence

indicating how each input determines a unique output

sequence

an ordered list of numbers, pictures, letters, geometric figures, or just about any object you like

term

each number, figure, or object in the sequence

variable rate of change

functions that are nonlinear that do not have a constant rate of change

varies directly

in which there is an equation in which output is effected by the input

vertex

the highest or lowest point on a graph

zeros

points that crosses the x-axis