Math Word Bank

Constant

A fixed value that does not change, often represented by a number in mathematical equations.

Decreasing

A term used to describe a function or sequence where values diminish over a specified interval.

Dependent Variable

A variable whose value depends on the value of one or more other variables in a mathematical expression or function.

Domain

The set of all possible input values (or x-values) for which a function is defined.

Graph

A visual representation of data or mathematical functions, displaying the relationship between variables on a coordinate system.

Function

A relation between a set of inputs and a set of permissible outputs, usually represented as a rule or equation, that assigns exactly one output for each input.

Function Notation

A way to represent functions using symbols, typically of the form $f(x)$, indicating the function applied to an input value $x$.

Horizontal

line or plane parallel to the x-axis in a coordinate system.

Increasing

A function is said to be increasing on an interval if for any two points within that interval, when the first point has a smaller value than the second point, the corresponding function values also maintain this order. Left to right.

Independent Variable

a standalone factor that a researcher manipulates, controls, or tests in an experiment to see if it causes a change in another variable

Input

any resource, data, energy, or contribution put into a system, machine, computer, or organization to achieve a specific result or output

linear

Linear means arranged in, consisting of, or relating to a line or straight lines

Mapping

the act or process of creating a map, or a mathematical relationship that assigns elements from one set to another

maximum

the greatest possible amount, number, size, or upper limit of something

Minimum

the smallest or lowest amount, number, degree, or limit that is possible, allowed, or recorded

Non-linear

not following a straight, smooth, predictable, or chronological line

Ordered Pair

a pair of two numbers or elements written in a specific, fixed order and enclosed in parentheses, typically written as (x, y)

Origin

the fixed reference point or starting position used to measure and plot coordinates on a graph, number line, or space

Output

the final value or result you get after applying a function, rule, or operation

Quadrant I

is the top-right region of a Cartesian coordinate plane, where both the horizontal (x) and vertical (y) coordinates are positive

Quadrant ll

is the top-left region of a Cartesian coordinate plane, where both the horizontal (x) is negative and vertical (y) is positive

Quadrant lll

is the bottom-left region of a Cartesian coordinate plane, where both the horizontal (x) and vertical (y) coordinates are negative

Quadrant llll

is the bottom-right region of a Cartesian coordinate plane, where both the horizontal (x) is positive and vertical (y) is negative

Range

the range of a function is the set of all possible output values

Rate of Change

measures how one variable changes relative to another variable. It tells you how fast an output value grows or shrinks as the input value changes

Relation

a connection or rule that links elements from one set (called the domain) to elements of another set (called the range)

Slope

a number that measures the steepness and direction of a straight line

Slope-intercept

a way to write the equation of a straight line (y=mx+b)

Vertical

straight up and down

Vertical Line Test

is a visual method used in mathematics to determine whether a graph on a Cartesian plane (x,y-plane) represents a function

x-axis

the horizontal number line on a Cartesian coordinate plane that runs left and right

x-coordinate

The x-coordinate is the first number in an ordered pair (x, y)

x-intercept

the point where a line or curve crosses the horizontal x-axis on a graph, where the y-coordinate is always

y-axis

the vertical number line on a Cartesian coordinate plane that runs straight up and down

y-coordinate

A y-coordinate is the second number in an ordered pair (x, y)

y-intercept

the point where a graph crosses the vertical y-axis