27 terms

relation

the pairing of numbers in one set

domain

the ordered pairs of one set

range

the difference of the greatest value and the least value in a data set

input

each number in the domain

output

each number in the range

function

A relation i which each element of the Domain is paired with exactly one element of the range.

vertical line test

A test used to determine whether a relation is a function by checking if a vertical line touches 2 or more points on the graph of a relation

equation in two variables

an equation that can be described with two variables.y=3x-5, where x is independent and y is dependent.

solution of an equation in two variables

a value for a variable that makes an equation true

graph of an equation in two variables

collection of all points (x,y) whose coordinates are solutions of the equation

linear equation

An equation whose graph is a line.

linear function

A function whose graph is a non vertical line.

function form

Special functions formulas that do not use operators to calculate a result.

x-intercept

the x-coordinate of a point where a graph crosses the x-axis

y-intercept

the y-coordinate of a point where a graph crosses the y-axis

slope

the steepness of a line on a graph, rise over run

rise

the vertical change between two points on a line

run

the horizontal change between two points on a line

slope-intercept form

y=mx+b, where m is the slope and b is the y-intercept of the line.

best fitting line

The line that lies as close as possible to all the data points

function notation

A way to name a function that is defined by an equation.

system of linear equations

Two or more linear equations using the same variables.

solution of a linear system

an ordered pair that is a solution of each equation in a system of linear equations

linear inequality in two variables

a line in which the equal sign is replaced with an inequality symbol

solution of a linear inequality in two variables

an ordered pair that is a solution of each equation in a system of linear equations

graph of a linear inequality in two variables

The _____ in two variables is the set of points in a coordinate plane that represent the inequality's solutions

half-plane

all points on one side of a line in a coordinate plane.