one- to- one function
A function for which every element of the range of the function corresponds to exactly one element of the domain
onto function
A function f from a set A to a set B is said to be onto(surjective) , if and only if for every element y of B , there is an element x in A such that f(x) = y , that is, f is onto if and only if f( A ) = B
discrete relation
A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers
continuous relation
A set of data is said to be continuous if the values belonging to the set can take on ANY value within a finite or infinite interval
vertical line test
A test used to determine if a relation is a function. A relation is a function if there are no vertical lines that intersect the graph at more than one point
independent variable
A variable in an equation that may have its value freely chosen without considering values of any other variable
dependent variable
A variable that depends on one or more other variables
linear equation
is any pattern of numbers that is increasing or decreasing by the same amount every step of the way
linear function
is any function that graphs to a straight line
rate of change
The change in the value of a quantity divided by the elapsed time
bivariate data
Data for two variables (usually two types of related data)
positive correlation
a relationship between two variables such that their values increase or decrease together
negative correlation
a relationship between two variables such that as the value of one variable increases, the other decreases
line of fit
A line on a graph showing the general direction that a group of points seem to follow
regression line
a smooth curve fitted to the set of paired data in regression analysis
piecewise-linear function
a function composed of some number of linear segments defined over an equal number of intervals, usually of equal size
absolute value function
a function that contains an algebraic expression within absolute value symbols
f(x) = |x|
parent function
is the simplest function that still satisfies the definition of a certain type of function
quadratic function
a function that can be described by an equation of the form f(x) = ax2 + bx + c, where a ? 0
linear inequality
involves a linear expression in two variables by using any of the relational symbols such as <,>, ? or ?