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Radicals, Powers, and Roots

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 23x, 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 bn, 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 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.

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