1. 3.3 – Other Common Functions

2. Quadratics are just one particular type of function we can graph and interpret There are several others which we may build “parent” functions from Each of the following are meant to build up further knowledge of each graph type

3. ax n Two categories of graphs for f(x) = ax n Even Odd

4. The same rules for the coefficient a still apply – If |a| > 1, vertical stretch – If |a| < 1, horizontal stretch

5. To graph, we can use our graphing calculators OR just a few test points Example. Graph the function f(x) = -x 3 – Shape?

6. a/x n Functions of the form f(x) = ax -n OR f(x) = a/x n have a few more specific properties – Why? – What is their domain? Just as before, even, and odd roots make a difference

7. a/x n Two categories of graphs for f(x) = ax -n Even Odd

8. a/x n Example. Graph f(x) = -4x -1

9. ax 1/n The final category, f(x) = ax 1/n Even Odd

10. Example. Graph f(x) = 2x 1/3

11. Assignment Pg. 231 2-24 even EXCLUDING 10