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24 Cards in this Set

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  • 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
y-intercept
a point in which the line crosses the y axis
x-intercept
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) = y2-y1/x2-x1, 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. y-y1=m(x-x1)
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.