Representation of Functions

Verbal Representation

A function is a rule that assigns each input exactly one output. Example: "A function doubles a number and subtracts 3".

Numerical Representation (Table)

xf(x) = 2x - 3
-2-7
-1-5
0-3
1-1
21

Algebraic Representation

Functions can be written as equations. Example: f(x) = x² + 2x + 1

Graphical Representation

Mapping Representation

1 → 2
2 → 4
3 → 6
4 → 8

Functional Notation

Functions can be represented using functional notation. Example: f(x) = 2x + 3