1. L ESSON 8.2 Step Functions

2. S TEP F UNCTIONS Piecewise functions Graphs look like stair steps

3. F LOOR F UNCTION The output is the greatest integer that is less than or equal to the input. Examples:

4. C EILING F UNCTION The output is the least integer that is greater than or equal to the input. Examples:

5. GRAPHING STEP FUNCTIONS Make a table of values. X-2012 F(x) -2012 This doesn’t make the steps. You need to use decimals to get the steps.

6. E XAMPLE 1: Graph

7. E XAMPLE 2: Graph

8. T RANSFORMING STEP F UNCTIONS General Form Moves graph left/right Moves graph up/down Controls the “height” of the stepsof Controls the length of the stepsthe

11. E XAMPLE 3 Describe the transformation to the parent function, : a.b.

12. S OLVING S TEP E QUATIONS What does x have to be? 1.x = 5 2. 3. 4.

13. E XAMPLE 4: Solve

14. Y OUR T URN … Solve

15. E XAMPLE 5: You travel to a lake and want to rent a paddle boat. They charge $7 for every 15 minutes plus a flat fee of $25 for insurance. Create an equation to model this situation.

16. H OMEWORK Worksheet 8.2