1. Today is: Wednesday, September 21 th, 2005 Lesson 1.7 Introduction to Functions Chapter 1 Test is Tuesday, September 27 th Don’t forget you can use a note card. Turn it in the day before the test. Note books are due on the day of the test! We will review tomorrow. MR. OWH

2. Lesson 1.7 Introduction to functions Your Name Period # 9/21/2005

3. Warm-ups Please multiply the following numbers: Please divide the following numbers:

4. Definitions Input: values that are substituted into an equation. Output: values that are created from the input values. Function: is a rule that establishes a relationship between two quantities, called input and output. For each input there is only ONE output. More than one input can have the same output.

5. Definitions (con’t.) Domain: collection of all input values. Range: collection of all output values. Solution: of an equation is the values of the variable that make a true statement.

6. This is a function: 12341234 56785678 Input Output

7. Is this a function?: 123123 2323 Input Output Yes!

8. This is NOT a function: 123123 456456 Input Output

9. Example 1: Do the following input-output tables represent a function? A) B) InputOutput 810 126 137 246InputOutput 210 38 46 211 Yes No

10. Example 2: Create an input-output table for the following equation using –1, 1, 2 for input values. A) y=12+3x x y 1 2 9 12-3=9 15 12+3=15 18 12+6=18

11. Example 3: Create an input-output table for the following equation using –2, –1, 0, 1, 2 for input values. B) y=4x-10 x y 1 2 -14 -4-10=-14 -6 4-10=-6 -2 8-10=-2

12. Example 3: A plane at 2000 ft. altitude climbs at a rate of 1000 ft./min. for 4 minutes. The altitude h for t minutes is given by: h = 2000 + 1000t a) Make an input-output table for the function. b) State the domain. c) State the range. d) Graph the data on a line graph.

13. What Mr. Owh?!!! I don’t get it! Please help!

14. HW G1 #10 Page 49 #10-32 (Copy Problems) HW G1 #11 Page 54 #1– 29 (Copy Problems)