Function Notation
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
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Definition
Function notation is a way to represent functions in a more organized and convenient manner. It involves using symbols to denote functions and their inputs and outputs. Here's a basic breakdown of function notation:
Function Name: Functions are usually named with a letter, often f, g, or h. For example, f is a common choice.
Input Variable: The input to the function is often represented by a variable, commonly x. The function notation f(x) indicates that x is the input to the function f.
Output Value: The output value is what you get when you substitute x into the function. For instance, if f(x) = x^2 + 3, then f(2) would be calculated as 2^2 + 3 = 7.
In summary, function notation f(x) is a shorthand way to write functions and express how the function transforms an input x into an output.