Cube Root Function
f(x) = ³√x
The cube root function is an important mathematical function that helps us find the root of any number. It is represented by the symbol ∛ and is the inverse of the cube of a number. The cube root of a number ‘a’ (denoted as ∛a) is the number that when multiplied by itself twice (a × a × a) gives the original number.
For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27. Similarly, the cube root of 64 is 4 because 4 × 4 × 4 = 64.
The cube root function is written as:
f(x) = ∛x
The cube root function is a type of radical function that has the domain of all real numbers and the range of all real numbers. It has a graph that is similar in shape to the square root function, but it is steeper and has a sharper curve.
Some important properties of the cube root function are:
– The cube root of a negative number is negative. For example, ∛(-8) = -2.
– The cube root of 0 is 0. ∛0 = 0.
– The cube root of a positive number is positive. For example, ∛8 = 2.
The cube root function is widely used in mathematics and engineering. It is particularly useful in problems that involve calculating the volume of three-dimensional objects, as it helps us find the side of a cube or the radius of a sphere.
More Answers:
Understanding Critical Values in Hypothesis Testing: Significance Levels and Degrees of Freedom Explained.How to Find Points of Inflection in Calculus Functions: Step-by-Step Guide
Understanding Reciprocal Functions: Properties, Applications, and Calculus.