Function Notation Formula

About Function Notation Formula

Functions and function notation formulas are at the heart of mathematical analysis studies since they are such an important aspect of mathematics. A function is represented symbolically in function notation. Longer functions are easier to describe with function notation, and their representations make them much easier to understand. Let's look at the formula for function notation.

What is Function Notation Formula?

A function is a type of operator that takes an input variable and provides a result. When one quantity is dependent on another, a function is created. Let's take a look at how to use the function notation formula to grasp the relationship between a function's input and output variables.
The letter 'f' is commonly used to indicate a function. Other lower case letters are also used to denote the function, such as 'g' or 'h'. The function notation formula is formed by 'f' and the input variable enclosed by parenthesis(), where the input variable is commonly represented as 'x'.

To further comprehend the function notation formula, consider the following example.
Consider the relationship y = x2, in which x can be any real number. Because y is the square of x, this equation tells us that y is reliant on x. In technical terms, y is a function of x, which is expressed using the following function notation formula:
y = f(x) or f : X → Y

Where,

  • f denotes function name
  • x is an element from domain set X
  • y or f(x), an element from range set Y
  • The arrow indicates mapping of input to output

In other words, x is input variable that produces y. (x).
As we all know,
y = x2 thus, The formula for our function notation will be:
f(x) = x2

  • function_formula
  • function_formula

Get the list of all Maths formulas used in general calculations. 

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Function Notation Formula
Function Notation Formula

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