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Radical Functions

Published on Jan 29, 2016

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PRESENTATION OUTLINE

Radical Functions

By: Romyrl Mestiola

Composite Function

A combination of two functions such that the output from the first function becomes the input for the second function. 

Index

With a radical sign, the index indicates the degree of the root.

Inverse Functions

If the function "f" pairs a value "b" with "a" then its inverse , denoted (f negative 1 power), pairs the value a with b. 

Inverse Relation

If a relation pairs element "a" of its domain with the element "b" of its range, the inverse relation undoes the relation and pairs b with a.

Like Radicals

Radical expressions that have the same index and the same radicand.

nth Root

For any real numbers a and b, and any positive integer n, if a to the nth power=b, then a is an nth root of b.

Principal Root

When a number has two real roots the positive root is called the principal root. Radical sign indicates it.

Radical Equation

An equation that has a variable in a radicand or has a variable with a rational exponent.

Radical Function

A function that can be written in the form, f(x)= a(n root of x-h) + k, where a is not equal 0.

Radicand

The number under a radical sign.

Rational Exponent

If the nth root of A is a real number and M is an integer, then a 1/n= (n root of A) and m/n= (n root of A to the M power). M is negative, a=0.

Rationalize Denominator

Rewrite the denominator of an expression so there are no radicals in any denominator and no denominators in any radical.

Square Root Equation

A radical equation in which the radical has index 2.

Square Root Function

A function that can be written in the form f(x)= a (square root of x-h) + k, where a is not equal to 0.