relations and functions dictionary
function
1. A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. 2. The action or actions that an item is designed to perform.
coordinate plane
A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
arithmetic sequence
A numerical pattern that increases or decreases at a constant rate or value. The difference between successive terms of the sequence is constant.
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane
vertical line test
A test used to determine whether a relation is a function by checking if a vertical line touches 2 or more points on the graph of a relation
domain
All of the input or x values in a function
range
All of the output or y values in a function
quadrants
Four quarters that the coordinate graph is divided into
mapping
Illustrates how each element of the domain is paired with an element in the range
x-coordinate
The first number of an ordered pair
x-axis
The horizontal number line on a coordinate plane
zeros
The roots or x-intercepts of a quadratic function
continuous graph
a graph made up of connected lines or curves
discrete graph
a graph made up of distinct, or unconnected, points
function notation
an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x
arithmetic sequence formula
an=a1+(N-1)d
relation
any set of ordered pairs
common difference
the constant difference between consecutive terms in a sequence
origin
the point (0,0) where the x-axis and the y-axis intersect in a coordinate plane
y-coordinate
the second number in an ordered pair
y-axis
the vertical axis on a coordinate plane...top to bottom
input
the x-values (domain) of a relationship, the value substituted into an expression or function
output
the y-values (range) of a situation, The results of the operation of a formula.
