1. 2.1 Functions and Their Graphs Formal Notation for Domain and Range Relations vs. Functions (function notation) More Domain Practice

2. Domain – formal notation The set of all possible values of the independent variable in a function. read “x such that x belongs to …” “x such that x is greater than …”

3. … more possibilities for domain x such that x is greater than or equal to … x such that x is less than … x such that x does not equal … (implies x can be all other real numbers)

4. Range – formal notation The set of all possible values of the dependent variable in a function. read “y such that y belongs to …” etc.

5. Function - A relation in which each value of x has a unique y value. For example – NOT a function function

6. Practice – Is it a function? YES NO YES YES YES NO

7. Reading Function Notation Corresponds to the point (0, -1)

8. Reading Function Notation Corresponds to the point (1, 2)

9. Reading Function Notation

10. Reading Function Notation

11. Reading Function Notation

12. Reading Function Notation

13. Reading Function Notation

14. Identify the domain of the function Sqrt of negative is BAD! Divide by zero is BAD!

15. Assignment 68 # 1 – 4, 9 – 10, 14 – 15, 21, 27 – 39, 45, 47, 51, 55