1. Introduction to Functions

2. Definition of a Function

3. Domain and Range

4. Ex 1: Determine whether each relation is a function.

5. Solution for part (a) 4 6 8 5 7 8

6. Solution for part (b) 4 5 6 6 7

7. Practice Exercises

8. Answers

9. The vertical line test is used to determine if a graph is a function.
Created by:
David W. Cummins

10. If a vertical line passes through a graph more than once, the graph is not the graph of a function.
Hint:
Pass a pencil across the graph held vertically to represent a vertical line.
The pencil crosses the graph more than once. This is not a function because there are two y-values for the same x-value.

17. Function Notation

18. Function Notation

19. Ex 1: Evaluating a Function

20. Practice Exercise

21. Answer