# Functions Terms

## Get down with the lingo

### Empty Set

A set containing no elements.### Relation

### Domain

All the values*x*can take in a function. It's like

*x*is a little king, and the domain is, well, its domain.

### Range

This is the set of all possible outputs of a function. It's generally the possible*y*-values. It has very little to do with the Lone Ranger or free range chickens.

### 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 steepness of a line, calculated as rise over run; think skiing (the bunny slope is less steep than the triple black diamond).### Polynomial

### Quadratic Equation

An equation obtained by setting a quadratic polynomial to 0.### Quadratic Polynomial

A polynomial of degree 2.### Exponential Function

A function of the form*y*=

*ab*+

^{x}*c*. Their graphs form a nice, smooth curve.

### Inequality

A mathematical statement using the symbols <, >, ≤, ≥.### People who Shmooped this also Shmooped...

Advertisement