# Functions Terms

## Get down with the lingo

### Asymptote

An imaginary line that the curve of an exponential function gets closer and closer to without ever actually hitting ('cause it's not nice to hit).### Cartesian Coordinate System

The flat grid we use to plot out functions. It has an*x*-axis, a

*y*-axis, and a very big name.

### 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.

### Empty Set

A set containing no elements. Move along folks; nothing to see here.### Exponential Function

A function of the form*y*=

*ab*+

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

### 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.### Inequality

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

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

*y*-axis.

### Linear Function

A two-variable equation that, when graphed on the coordinate plane, forms a straight line. It always sticks to the straight and narrow path.### Ordered Pair

Two numbers written in a certain order; (*a*,

*b*) is different from (

*b*,

*a*).

### Quadratic Function

A relation where the input (*x*) is related to the output (

*f*(

*x*)) by a quadratic equation:

*f*(

*x*) =

*ax*

^{2}+

*bx*+

*c*.

### 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.

### Relation

A set of ordered pairs. Like an infinite number of couples walking down an aisle at a wedding.### Set

A collection of things, put inside curly braces. If you need your teeth straightened, your dentist will create a set of your teeth.### Slope

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

The single maximum or minimum value of a parabola.### Vertical Line Test

Can a vertical line pass through a graph twice? If yes, it's not a function. C'mon, this isn't a hard test to pass.### People who Shmooped this also Shmooped...

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