Honors Algebra I Chapter 3 Vocabulary

arithmetic sequence

a sequence in which each term is found by adding the same number to the previous term

common difference

The difference between the successive terms of an arithmetic sequence

constant

A monomial that is a real number

constant function

A linear function of the form y=b

greatest integer function

A step function, written as f(x)=[[x]], where f(x) is the greatest integer less than or equal to x.

linear equation

An equation whose graph is a line

linear function

A function with ordered pairs that satisfy a linear equation

rate of change

describes how a quantity is changing over time

root

the solution of an equation

sequence

A set of numbers arranged in a special order or pattern.

slope

The ratio of the rise and the run between any two points in a line

standard form

Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative

piecewise-linear function

a function written using two or more linear expressions

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

zero of a function

The roots, or x-intercepts, of a function

slope-intercept form

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

step function

a function with a graph that is a series of horizontal line segments

transformations

A movement of a graph on a coordinate plane