# Algebra II Terms

Get down with the lingo

### Base

The number an exponent is 'attached' to (what a leech) in its superscript. In a logarithm, it is located in the subscript.

### Coefficient

A number or a constant multiplied by a term in an algebraic expression. Coefficients always go first. Or is that "ladies"…?

### Complex Number

Any number in the form *a *+ *bi* where *a *and *b* are real numbers. In English, it's a number created by the addition of one real and one imaginary number.

### Domain

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

### Exponent

The number that indicates which power to raise the base to. In the term *b*^{n}, the exponent is *n*.

### Horizontal Asymptote

A way to graphically describe the end behavior for a curve that approaches but never quite reaches a certain outputted *y*-value.

### Imaginary Number

This is defined as the square root of -1.

### Index

Tiny Tim-sized number sitting in the radical √. For instance, 3 in the third root.

### Irrational Number

This is a number that cannot be written as the quotient of two integers.

### Radical

Also called a root, basically anything that uses √. It doesn't have anything to do with trees or plants unless those plants are oddly mathematically inclined.

### Radicand

The expression or number inside a radical.

### Range

The set of all possible output values of the function.

### Rational Number

A number that can be written as the quotient of two integers. The denominator cannot be zero.

### Real Number

The set of numbers including both the rational and irrational numbers.

### Simple Radical Form

The form of a number that has no radicals in the denominator, or as we like to say, no radicals in the basement. Could you imagine having a radical in your basement? You'd want them out of there, too.

### Vertical Asymptote

A type of discontinuity typically marked by a dashed line, on either side of the vertical asymptote the corresponding curve will approach either negative or positive infinity.