22 terms

PreAlgebra 700 Chap. 8 Vocab.

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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
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