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24 Cards in this Set
 Front
 Back
Relation

a set of pairs of input and output vavlues.


Domain

the set of all inputs, or x coordinates


Range

set of all outputs, or y coordinates


Mapping diagram

describes a relation by linking elements of the domain with elements of the range.


Function

each element of the domain is paired with exactly one element in the range


vertical line test

you can use the vertical line test to determine weather a relation has at least one element of the domain paired with more than one element of the range. If a vertical line passes through two or more points on the graph, then the relation is not a function.


Function notation

You read the function notation f(x) as "f of x" or a function of x" Note that f(x) does not mean f times x


Linear function

A function's graph that is a line.


Linear Equation

A linear function's equation


Dependent value

the Y value


Independent Value

The x value


yintercept

a point in which the line crosses the y axis


xintercept

a point in which the line crosses the x axis


standard form of a linear equation

ax+by=c


Slope

the ration of the vertical change to corresponding horizontal chnage


Slope Formula

slope=vertical change (rise) / horizontal change (run) = y2y1/x2x1, where x2 x1 not equal to 0


Point Slope Form

The line through the point (x1,x2) with the slope m has the equation below. yy1=m(xx1)


Slope Intersection Form

y=mx+b


Direct Variation

y=kx k doesn't equal 0 then it a direct variation


Constant of Variable

k=y/x


Absolute Value Function

f(x)=/mx+b/


Vertex

where the function reaches a maximum or minimum


Translation

operation that shifts a graph horizontally vertically or both


Parent function

A family of functions is a group of functions with the common characteristics. A parent function is the simplest function with these characteristics.
