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Function notation definition in math

What is function notation in math?

It is a way to write a function.

Look at these examples.

Example.

f(x) = 5x

This is a function notation.

We read it as "f-of-x equals 5x".

Take a look at the

f(x)

where

  • "x" is the input of the function, it is called the independent variable or argument of the function,
  • "f(x)" is the output of the function, it is called the dependent variable or function,
  • "f" is the name of the function.

Example.

g(h) = 5h

where

  • "h" is the input of the function, it is called the independent variable or argument of the function,
  • "g(h)" is the output of the function, it is called the dependent variable or function,
  • "g" is the name of the function.

It is pronounced as "g-of-h equals 5h".

Example.

Given

f(c) = 4c

What is the name of the function?

The function name is "f".

What is the argument of the function?

The argument of the function is "c".

See Function notation examples.