1. Chapter 1: Variables, Function Patterns, and Graphs 1.4 Patterns and Functions

2. Vocabulary Function – A relationship that assigns exactly one output value for each input value – For each input, there is only ONE corresponding output Function Rule – An equation that describes a functional relationship

3. “Function Machine”

4. Example 1 Suppose you are washing and drying clothes at a self-service laundry. The relationship between the number of loads (input) and the cost (output) is a function. Use the table to write a function rule. Number of Loads1234 Cost$2.75$5.50$8.25$11.00

5. Example 1a Write a function rule for the relationship between the number of hours (input) and the number of miles (output). HoursTotal Miles 160 2120 3180 4240

6. Example 2 The relationship between the number of houses and the number of toothpicks is a function. Use the table to write a function rule. Number of Houses Total Number of Toothpicks 16 211 316 423

7. Vocabulary Dependent variable – Depends on the value of the independent variable Independent variable – Will occur regardless of what’s going on around it

8. Example 3 The table and graph model a function relating the storage capacity of a memory stick and its cost. Identify the independent and dependent quantities. Memory (MB) Cost ($) 3219 6429 12839 25649

9. Example 3a The cooking time for an unstuffed turkey is about 20 minutes per pound. What are the independent quantity and the dependent quantity for this situation?

10. Example 4 Maria earns $7 per hour for baby-sitting after school and on Saturday. She works no more than 16 hours per week. Identify the independent and dependent quantities for this situation.

11. Example 4 Maria earns $7 per hour for baby-sitting after school and on Saturday. She works no more than 16 hours per week. Find reasonable domain and range values for this situation.

12. Example 4a Charlie downloads songs for $.75 each. He has between $3.00 and $6.00 to spend on songs. Identify the independent and dependent quantities for this situation and find reasonable domain and range values.

13. Homework P. 29 2-16 even