# Radicals, Powers, and Roots

# 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 multiplied by a variable. In the term 23*x*, that'd be the number 23.

### 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*, the exponent is

^{n}*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^{3}√.

### 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 vertical line*x*=

*a*if

*f(x)*approaches

*+infinity or -infinity as*

*x*approaches

*a*from right or left.