22 terms

independent variable

the variable in a function with a value that is subject to choice

dependent variable

the variable in a function 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 relationship passes through no more than one point on the graph for each value of x in the dominion, then the relation is a function

function notation

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

For Example: the equation y=3x-8 would be written as f(x)=3x-8

For Example: the equation y=3x-8 would be written as f(x)=3x-8

sequence

an ordered list of numbers (ex: 0, 2, 4, 6,........)

term

each number within a sequence

arithmetic sequence

a sequence in which the difference between any two consecutive terms in an arithmetic sequence

common difference

the difference between any two consecutive terms in an arithmetic sequence

linear equation

an equation where the variables appear in seperate terms and neither variable contains an exponent other than 1; its graph is a straight line

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

discrete data

data that is not continuous....there is space between possible data values; all numbers are not a reasonable part of the domain (ex: the number of shirts you can buy)

rate of change

a change on one quanity with respect to another quanity

linear relationship

relationships that have straight line graphs

constant rate of change

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

direct variation

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

constant of variation

the slope, or rate of change, in the equqtion y=kx, represented by k

slope

the ratio of rise (vertical change) to run (horizontal change) that describes the steepness of a line

slope-intercept form

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

point-slope form

an equation of the form y-y1=m(x-x1), where m is the slope and (x1,y1) is a given point on a nonvertical line

system of equations

a set of two or more equations with the same variables

substitution

using algebraic methods to find an exact solution of a system of equations