1. Definition of Function

2. Picture of a Function

3. Definition of Function Illustration 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.

4. Definition of Function Illustration 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.

5. Definition of Function Illustration 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.

6. Definition of Function Illustration 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.

7. Definition of Function Illustration 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.

8. Functional Notation Defined

9. Picture of Functional Notation

10. Example of Simple Function 1

14. Graph of a Function Defined Definition: 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.

15. Example of Simple Function 1 With Graph