# 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 = abx + 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).

A relation where the input (x) is related to the output (f(x)) by a quadratic equation: f(x) = ax2 + 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.