27 terms

Chapter 8 Linear Functions

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Terms in this set (...)

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.

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