Radical Functions Vocabulary

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

The positive square root of a number.

The number under the radical sign.

<p>The index gives the degree of the root.</p> Signup and view all the answers

<p>A radical with index n is in simplest form if the radicand has no perfect nth powers as factors and any denominator has been rationalized.</p> Signup and view all the answers

<p>Rewrite it so there are no radicals in any denominator and no denominators in any radical.</p> Signup and view all the answers

<p>Radical expressions with the same index and radicand.</p> Signup and view all the answers

<p>If the nth root of 'a' is a real number, m is an integer, and m/n is in lowest terms, then the rational exponent theorem follows.</p> Signup and view all the answers

<p>An equation that has a variable in a radicand or has a variable with a rational exponent.</p> Signup and view all the answers

<p>A radical equation in which the radical has index 2.</p> Signup and view all the answers

<p>A combination of two functions such that the output from the first function becomes the input for the second function.</p> Signup and view all the answers

<p>If a relation pairs element a of its domain to element b of its range, the inverse relation pairs b with a.</p> Signup and view all the answers

<p>If both a relation and its inverse happen to be functions, they are 'inverse functions.'</p> Signup and view all the answers

<p>A function where each element of the range is paired with exactly one element of the domain.</p> Signup and view all the answers

<p>A function that contains a radical with a variable in its radicand.</p> Signup and view all the answers

<p>A function that contains a square root of a variable.</p> Signup and view all the answers