20 terms

function

A function is a special relation in which each element of the domain is paired with exactly one element in the range.

independent variable

The variable in a function that is subject to change.

dependent variable

The variable in a relation with a value that depends on the value of the independent variable.

vertical line test

If any vertical line drawn on the graph of a relation passes through no more than one point on the graph for each value of x in the domain, then the relation is a function.

function rule

The operation performed on the input of the function.

function notation

A way to name a function that is defined by an equation. In function notation the equation y=3x-8 is written as f(x)=3x-8.

linear equation

An equation in which the variables appear in separate terms and neither variable contains an exponent other than 1. The graph of a linear equation is a straight line.

linear function

A function for which the graph is a straight line.

function table

A table organizing the input, rule, and output of a function.

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.

rate of change

A change in one quantity with respect to another quantity.

linear relationship

A relationship that has straight line graphs.

constant rate of change

A rate of change between any two points in a linear relationship is the same or constant.

slope

The ratio of the rise, vertical change, to the run, or horizontal change. The slope describes the steepness of the graph. (m)

direct variation

A special type of linear equation that describes rate of change. A relationship such that as x increases in value, y increases or decreases at a constant rate.

constant of variation

The slope, or rate of change, in the equation y=kx, represented by k.

slope-intercept form

A linear equation in the form y=mx+b, where m is the slope and b is the y-intercept.

system of equations

A set of two or more equations with the same variables.

substitution

A method for solving systems of linear equations algebraically.