1. Functions and Their Graphs
Calculus P-3

2. Function – A relation between x and y ordered pairs, where any ordered pair with the same x value, also has the same y value.
Function

3. Notation f(x) used for function notation If... f(x) = 3x + 8
then... f(-2) = 2
Notation

4. Replace ALL x’s with the function’s independent value
Evaluating Functions

5. Practice

6. Practice

7. Exploration

8. Domain/Range of functions
Explicit domain, listed with function. ex.
Implicit domain, set of all real numbers for which the equation is defined. ex.
The implied domain is
Domain/Range of functions

9. Practice

10. Domain/Range - Practice
Find the domain and range
Domain = All Real Numbers
Range = [-1,1]
Domain
Range
Domain/Range - Practice

11. Piecewise Functions - Example
Find the domain and range
Domain = All Real Numbers
Range = [0,∞)
Piecewise Functions - Example

12. TI Nspire
TI 84
Piecewise Graphing

13. Practice

14. Practice

15. Page 27
1, 3, 7, 11, 15, 17, 19
Homework