# Functions

### 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 <, >, ≤, ≥.Advertisement

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