Define functions in Maths.
Answer
A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output and the output can be traced back to its input.
Types of Functions in Maths:
An example of a simple function is f(x) = x2. In this function, the function f(x) takes the value of “x” and then squares it. For instance, if x = 3, then f(3) = 9. A few more examples of functions are: f(x) = sin x, f(x) = x2 + 3, f(x) = 1/x, f(x) = 2x + 3, etc.
There are several types of functions in maths. Some important types are:
- Injective function or One to one function: When there is mapping for a range for each domain between two sets.
- Surjective functions or Onto function: When there is more than one element mapped from domain to range.
- Polynomial function: The function which consists of polynomials.
- Inverse Functions: The function which can invert another function.