Example of Many to One Function
Some of the most common examples of many one funcitons are:
Absolute Value Function
- Domain: All real numbers (ℝ)
- Codomain: Non-negative real numbers ([0, ∞))
- Function: f(x) = |x|
Square Function
- Domain: All real numbers (ℝ)
- Codomain: Non-negative real numbers ([0, ∞))
- Function: f(x) = x2
Floor Function
- Domain: All real numbers (ℝ)
- Codomain: All Integers (ℤ)
- Function: f(x) = ⌊x⌋
Floor Function
- Domain: All real numbers (ℝ)
- Codomain: All Integers (ℤ)
- Function: f(x) = ⌈x⌉
Many One Functions
Many-to-One or Many One Function is one of the various types of functions that represent relationships between different entities. As we know, a function is a very specific type of relation in which each input has a unique output. In a many-one function, many inputs can have the same output. For example, x2, where both 1 and -1 have the same output, i.e., 1.
In Simple terms, many to one function means When multiple elements are related to one element, or where multiple inputs can give the same output, that relation is known as Many to one function. Some examples of many-to-one functions are trigonometric functions like sine, cosine, and tangent, etc.
Table of Content
- What is Many One Function in Maths?
- Example of Many to One Function
- Graph of Many to One Function
- Properties of Many One function
- One One and Many One Function