Cube Root Function vs Square Root Function
The difference between cube root function and square root function is show below in the table:
Property | Cube Root Function | Square Root Function |
---|---|---|
Expression | f(x) = ∛x | f(x) = √x |
Degree of Root | Cube root (3rd root) | Square root (2nd root) |
Exponent Notation | x1/3 | x1/2 |
Graph Shape | Gradually increases or decreases | Increases steadily |
Domain | x ≥ 0 | x ≥ 0 |
Range | y ∈ R | y ≥ 0 |
Behavior at Zero | f(0) = 0 | f(0) = 0 |
Behavior at Infinity | limx→∞f(x)=∞ | limx→∞f(x)=∞ |
Rate of Increase | Increases slower than square root function | Increases faster than cube root function |
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