Cube Root Function: FAQs
What is Formula of Cube Root Function?
The formula for the cube root function is f(x) = ∛x or f(x) = x1/3. This function returns the number that, when raised to the power of 3, equals x.
What is Cube Root in math?
In mathematics, the cube root of a number x is a value that, when multiplied by itself twice (or raised to the power of 3), equals x.
What is Domain of a Cube Root Function f(x) = ∛x?
The domain of the cube root function f(x) = ∛x includes all real numbers because the cube root is defined for both positive and negative values of x.
Can we Find Cube Root of Negative Numbers?
Yes, the cube root function is defined for negative numbers as well. For example, the cube root of -8 is -2, as (−2)3 = -8.
What is Difference Between Square Root and Cube Root?
The main difference lies in the power to which the number is raised. The square root function returns a number that, when multiplied by itself, equals the given number, while the cube root function returns a number that, when multiplied by itself twice, equals the given number.
How to Integrate a Cube Root Function?
To integrate a cube root function f(x) = ∛x, you can use integration techniques such as substitution or direct integration. The result of integrating ∛x is 3/4x4/3 + C, where C is the constant of integration.
Cube Root Function
Cube root of a number is denoted as f(x) = ∛x or f(x) = x1/3, where x is any real number. It is a number which, when raised to the power of 3, equals to x. The cube root function is the inverse of the cubic function f(x) = x3. A cube root function is a one-one and onto function.
In this article, we will learn about the meaning of the Cube root function, differentiation, and integration of the cube root function, domain and range of the cube root function, properties of cube root functions, and graphing cube root function.
Table of Content
- What is Cube Root Function?
- Domain and Range of Cube Root Function
- Asymptotes of Cube Root Function
- Graphing Cube Root Functions
- Cube Root Function vs Square Root Function