1. October 3, 2012 Parent Functions Warm-up: How do you write a linear function, f for which f(1) = 3 and f(4) = 0? *Hint: y = mx + b HW 1.6: Pg. 71 #1-5, 31, 33, 43-45 all odds Have calculator for next class!

2. Lesson 1.6 Parent Functions Fill out the parent function sheet based on what you remember about each function. Match the graph with the name of the function. If you’re unsure, leave it blank. * When you are done, find the domain and range of each function.

3. Linear f(x) = x

4. Absolute Value f(x) = |x|

5. Square root

6. Quadratic f(x) = x 2

7. Cubic f(x) = x 3

8. Reciprocal or Rational

9. Greatest Integer f(x) = [[x]]

10. f(x) = [|x|]

11. GAME TIME! Can you identify the parent function without looking at your notes? Write down the function before it disappears! Good Job! How well did you do? 1. f(x) = √x 2. f(x) = |x| 3. f(x) = x 3 4. f(x) = 5. f(x) = x 2 6. f(x) = x 7. f(x) = [[x]]

12. Step Functions The Greatest Integer, f(x) = [[x]] “What is the greatest integer less than…?” Example 1) Evaluate a) [[-1]] b)c) d) [[1.5]] Example 2) Find h(4.2), if h(x) = [[x + 3]] 20 -313 -20 -22-440

13. What do step functions look like? f(x) = [[x]] Make a table and find the points on a graph. xy -1.5 -0.5 0 0.5 1.5 -2 0 1

14. Graphing Piecewise-Defined Functions Example 3) Sketch the graph of Make 2 tables for both cases:

15. Practice! Graph the function