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Radical Functions
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Published on Jan 29, 2016
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1.
Radical Functions
By: Romyrl Mestiola
2.
Composite Function
A combination of two functions such that the output from the first function becomes the input for the second function.
3.
Index
With a radical sign, the index indicates the degree of the root.
4.
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.
5.
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.
6.
Like Radicals
Radical expressions that have the same index and the same radicand.
7.
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.
8.
Principal Root
When a number has two real roots the positive root is called the principal root. Radical sign indicates it.
9.
Radical Equation
An equation that has a variable in a radicand or has a variable with a rational exponent.
10.
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.
11.
Radicand
The number under a radical sign.
12.
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.
13.
Rationalize Denominator
Rewrite the denominator of an expression so there are no radicals in any denominator and no denominators in any radical.
14.
Square Root Equation
A radical equation in which the radical has index 2.
15.
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.
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