Absolute Value Function
A function whose rule contains absolute-value expression
Domain
in a relation, the set of allowable inputs, x value
Family of Functions
group of functions with the same fundamental characteristics
Function
a relation that assigns each member of the domain exactly one member of the range
function composition
a mapping in which each element of the range of one function is the domain of another function; if f and g are functions of x, the composition of f and g is denoted by f * g is defined as f(g(x))
Greatest integer function
a function that assigns the greatest integer less than or equal to each real number in an interval
Inverse Function
one of two function f and g that "undo" each other; if you start with a value x apply f, and then apply g, the result is the original value x; the inverse function is denoted by f^1
inverse of a relation
a relation that interchanges members of the ordered pairs of the original relation; the domain of the inverse relation of the range of the original relation, and the range of the inverse relation is the domain of the original relation
least integer function
a function that assigns the greatest integer less than or equal to each real number in an interval
parent function
the basic function in a family of functions
piecewise function
a function that is defined using different rules fir different intervals of the domain
range
the set of all output values
range in a relation
the set of possible outputs
relation
any set of ordered pairs
step function
a function defined using a rule that produces a constant value for each designated interval of the domain
transformation
a one-to-one mapping between two sets of points
translation
the sliding of a figure in a straight path
vertical line test
a method of determining whether a relation is a function by verifying that there is only one y- value for every x- value, performed by sliding a vertical line across the function from left to right; if a vertical line can hit the graph at more than one po