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Functions & Relations Definitions


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Relation
A Smart Art graphic type that compares connections between concepts.
Domain
The ______________________ is all the possible INPUT, X, values.
Range
The difference between the greatest number and the least number in a set of data.
dependent variable
the measure of change in the independent variable
independent variable
the tested varaible
function
If you repeat an INPUT, and you always get the same OUTPUT, your data is a ______________________ .
VERTICAL LINE TEST
A line is a function is it passes the
Horizontal Line Test
inverse of a function is also a function if and only if no horizontal line intersects more than one
To find:
Inverse of a relation
f(x)
f of x
Distance Formula
√[( x₂ - x₁)² + (y₂ - y₁)²]
Slope-Intercept Form
a linear equation written in the form y = mx + b, where m represents slope and b represents the y-intercept
Opposite reciprocal
Perpendicular lines have _______ slopes.
greatest integer function
A step function written as f(x)= [x], where f(x) is the greatest integer less than or equal to x.
Piece wise function
A function that uses different rules for the number x depending on the element of the domain.
y
If the _______ is squared in an equation than it is not a function.