1. Functions!! By: Laura Rochelle

2. Real World Problem: Laura’s mom wants to let her invite some friends to tumbling lessons. She is allowed to invite up to five people. The cost for guests is $5.75. How much will it cost if up to five friends go to tumbling with Laura? Cartwheel!

3. The Equation: Function Notation:

4. x5.75xyx,y 15.75(1)5.75(1, 5.75) 25.75(2)11.5(2, 11.5) 35.75(3)17.25(3, 17.25) 45.75(4)23(4, 23.0) 55.75(5)28.75(5, 28.75) TABLE

5. GRAPH Number of People Cost

6. Independent and Dependent Independent- Number of People Dependent- Cost

7. Is this a Function?

8. Why is it a Function?? There are a lot of ways you can tell if a function….. 1.If your x values don’t repeat then it’s a function. 2.If it passes the vertical line test then it’s a function.

9. Continuous or Discrete? My problem is discrete because you cannot have a half of a person.

10. Domain and Range! Domain: {1, 2, 3, 4, 5} Range: {5.75, 11.50, 17.25, 23.00, 28.75}