Algebra Terms

Empty Set

A set containing no elements.

Relation

The relationship between two sets.

Domain

The set of all possible inputs for which the function is defined.

Range

The set of all possible output values of the function.

Function

A relation between sets of input and output where each input is related to one and only one output. The lobster model of mathematics.

Graph

A diagram representing data or relationship(s) between variables.

Ordered Pair

Two numbers written in a certain order; (a, b) is different from (b, a).

Independent Variable

A variable that assume values freely, or independently, in a function.

Intercept

The point where the graph of a function crosses the x-axis or y-axis.

Slope

The measure of a line's steepness.

Polynomial

An algebraic expression constructed from variables and constants, using addition, subtraction, multiplication, and positive integer exponents.

Quadratic Equation

An equation obtained by setting a quadratic polynomial to 0.

Quadratic Polynomial

A polynomial of degree 2.

Exponential Function

A constant raised to a variable represented by f(x) = a^x.

Inequality

A mathematical statement using the symbols <, >, ≤, ≥.