Algebra 3.1, Algebra 3.2

mapping diagram

A diagram that shows how a specific relation maps input values to output values.

vertical line test

A method for testing whether a given graph is that of a function. If a vertical line can be drawn that intersects the graph at two or more points, then the graph is not a function. If no such line can be drawn, the graph is a function.

input

A number that is entered into a function. The ___________ variable in a function is the independent variable.

function

A rule that tells how one number depends on another. For each input number, there is exactly one output number.

input-output table

A two-column table whose first column contains input values of a function and whose second column contains output values. The values in the first column are elements of the function's domain, and the values in the second column are elements of the function's range.

function notation

A type of writing that uses a letter to name a function and places parentheses around the independent variable. The notation f(x) is pronounced "f of x."

relation

Any set of input and output values. In a _____________, a single input gives back one or more outputs.

ordered pairs

Pairs of numbers in parentheses that name the location of points on a coordinate plane. The first number is the x-value, and the second number is the y-value.

output

The result of a function. The ___________variable in a function is the dependent variable.

range

The set of a function's output values (or y-values).

domain

The set of all allowable input values. If the function is graphed, the __________ is the set of all x-values on the graph.