Domain and Range of Cube Root Function
Domain of a function refers to all possible input values or (x) values for which the function is defined. In the case of the cube root function f(x) = ∛x, every real number can be plugged in as (x), meaning there are no restrictions on the input values. Therefore, the domain of the cube root function is all real numbers.
Range of a function represents all possible output values or (y) values that the function can produce for the given domain. For the cube root function f(x) = ∛x, when any real number (x) is input, the function yields a unique cube root (y). Since the cube root of any real number is also a real number, the function’s outputs cover all real numbers as well. Hence, the range of the cube root function is also all real numbers.
Hence, the cube root function f(x) is : i.e. Domain and range of a cube root function is (set of all real numbers)
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