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#### Display Title

Definition--Rationals and Radicals--Radical Function

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# Radical Function

## Topic

Rationals and Radicals

## Definition

A radical function is a function that contains a radical expression with the independent variable in the radicand.

## Description

Radical Functions are a vital part of Radical Numbers, Expressions, Equations, and Functions. These functions involve radicals, such as square roots or cube roots, with the independent variable inside the radical. For example, the function

$$f(x) = \sqrt{x}$$

represents a square root function. Graphing radical functions often involves identifying the domain (the set of all possible input values) and understanding how the function behaves as the input changes. Radical functions are used to model various real-world phenomena, such as the relationship between the area of a square and its side length. Understanding radical functions is crucial for solving radical equations and for analyzing the behavior of these functions. They are widely used in fields such as physics, engineering, and biology, where relationships involving roots frequently occur. Mastery of radical functions enables students to graph these functions, solve equations, and apply these concepts to practical situations. Radical functions also play a significant role in calculus, where they are used in limits, derivatives, and integrals.

For a complete collection of terms related to polynomials click on this link: __Rationals and Radicals Collection__

Common Core Standards | CCSS.MATH.CONTENT.HSA.REI.A.2, CCSS.MATH.CONTENT.HSN.RN.A.1, CCSS.MATH.CONTENT.HSF.IF.C.7 |
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Grade Range | 8 - 12 |

Curriculum Nodes |
Algebra• Radical Expressions and Functions• Radical Expressions |

Copyright Year | 2013 |

Keywords | radicals, radical expressions, rational numbers, rational expressions, definitions, glossary term, rational functions |