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# Algebra Chapter 4

### Algebra Chapter 4 Functions

continuous graph a graph made up of connected lines or curves
discrete graph A graph made up of unconnected points
relation A set of ordered pairs
domain The set of all possible input values of a function or relation
range The set of output values of a function or relation
function A relation in which every input is paired with exactly one output.
independent variable The input of a function; a variable whose value determines the value of the output.
dependent variable The output of a function; a variable whose value depend on the value of the input.
function rule An algebraic expression that defines a function.
function notation If x is the independent variable and y is the dependent variable, then f(x) is the function notation.
scatter plot A graph with points plotted to show a possible relationship between two sets of data.
correlation A measure of the strength and direction of the relationship between two variables or data sets.
positive correlation Two data sets have a positive correlation if both sets of data values increase.
negative correlation Two data sets have a negative correlation if one set of data values increase as the other set decreases.
no correlation Two data sets have no correlation if there is no relationship between the sets of values.
trend line A line on a scatter plot that helps show the correlation between data sets more clearly.
sequence A list of numbers that often form a pattern.
term An element or number in a sequence.
arithmetic sequence A sequence whose successive terms differ by the same nonzero number d, called the common difference.
common difference In an arithmetic sequence, the nonzero common difference of any term and the previous term.
formula to find the nth term of an arithmetic sequence a(n) = a(1) + (n - 1)d
Created by: galbreath01