Definition of FunctionDefinition of Function

Picture of a FunctionPicture of a Function

Definition of FunctionDefinition of FunctionIllustrationIllustration

There is a domain, a range, and a rule.

An arrow emanates from each domain element.

No domain element has two arrows emanating from it.

Definition of FunctionDefinition of FunctionIllustrationIllustration

There is a domain, a range, and a rule.

An arrow emanates from each domain element.

No domain element has two arrows emanating from it.

Definition of FunctionDefinition of FunctionIllustrationIllustration

There is a domain, a range, and a rule.

An arrow emanates from each domain element.

No domain element has two arrows emanating from it.

Definition of FunctionDefinition of FunctionIllustrationIllustration

There is a domain, a range, and a rule.

An arrow emanates from each domain element.

The domain element 2 has two arrows emanating from it.

Definition of FunctionDefinition of FunctionIllustrationIllustration

There is a domain, a range, and a rule.

An arrow emanates from each domain element.

The domain element 9 has no arrow emanating from it.

Functional Notation DefinedFunctional Notation Defined

Picture of Functional NotationPicture of Functional Notation

Example of Simple Function 1Example of Simple Function 1

Example of Simple Function 1Example of Simple Function 1

Example of Simple Function 1Example of Simple Function 1

Example of Simple Function 1Example of Simple Function 1

Graph of a Function DefinedGraph of a Function DefinedDefinition: The coordinates of a point (a, b) are said to satisfy the rule of a function f if b = f(a).

Definition: The graph of a function is the set of all points whose coordinates satisfy the rule of the function.

Points on the graph of a function f must therefore have coordinates like (m, f(m)) where m is a domain element.

Example of Simple Function 1Example of Simple Function 1With GraphWith Graph

Example of Simple Function 1Example of Simple Function 1With GraphWith Graph