1. October 14, 2011 At the end of today, you will be able to Identify and graph step, constant, identity functions, piecewise functions, and absolute value functions. Do Now: What is the domain and range of a function?

2. Lesson 2.6 Special Functions Five functions you need to recognize: IdentityStep Piecewise Constant Absolute Value

3. 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]] h(4.2) = [[4.2 + 3]] h(4.2) = [[7.2]] h(4.2) = 7 20 -313 -20 -22-440 = -1 = 0 = 1

4. What do step functions look like? f(x) = [[x]] Make a table and find the points on a graph. Find the Domain and Range. xy -1.5 -0.5 0 0.5 1.5 -2 Do #4 on Pg. 89 WS Domain: All reals (-∞,∞) Range: All reals (-∞,∞) 0 0 1

5. Graphing Piecewise-Defined Functions Sketch the graph of and find the domain and range. Make 2 tables for both cases: x ≤ 1f(x) = x + 3 x > 1f(x) = x 2 1 0 -2 43214321 12341234 1 4 9 16 OPEN CIRCLE! Do #9 on WS

6. Finish the other graphs we have not done on the WS for classwork credit!