1. Tell whether the pairing is a function. Identify a function EXAMPLE 2 a. a. The pairing is not a function because the input 0 is paired with both 2 and 3.

2. b.b. Identify a function EXAMPLE 2 Output Input 21 00 4 8 612 The pairing is a function because each input is paired with exactly one output.

3. SOLUTION GUIDED PRACTICE for Example 2 Tell whether the pairing is a function. 1221 Output 12963 Input 2. 3 6 9 12 12211221 The pairing is a function because each input is paired with exactly one output.

4. SOLUTION GUIDED PRACTICE for Example 2 Tell whether the pairing is a function. 3210 Output 7422 Input 3. The pairing is not a function because each input is not paired with exactly one output. 247247 01230123

5. SOLUTION GUIDED PRACTICE for Example 1 1. Identify the domain and range of the function. Input 0124 Output 5221 The domain is the set of inputs: 0, 1, 2, and 4 The range is the set of outputs: 1, 2, and 5

6. Write a function rule EXAMPLE 4 Write a rule for the function. Input Output 2 1 6 12 3 4 8 6010 SOLUTION and let y or dependent variable. Notice that eachbe the output, Let x be the input, or independent variable, output is 2 more than the corresponding input. So, a rule for the function is y = x + 2.

7. Write a function rule for a real-world situation EXAMPLE 5 Concert Tickets You are buying concert tickets that cost $15 each. You can buy up to 6 tickets. Write the amount (in dollars) you spend as a function of the number of tickets you buy.Identify the independent and dependent variables.Then identify the domain and the range of the function.

8. Write a function rule for a real-world situation EXAMPLE 5 SOLUTION So, the function rule is A = 15n. The amount spent depends on the number of tickets bought, so n is the independent variable and A is the dependent variable. Write a verbal model. Then write a function rule. Let n represent the number of tickets purchased and A represent the amount spent (in dollars). A 15 n = Amount spent (dollars) Cost per ticket (dollars/ticket) Tickets purchased (tickets) =

9. Write a function rule for a real-world situation EXAMPLE 5 Because you can buy up to 6 tickets, the domain of the function is 0, 1, 2, 3, 4, 5, and 6. Make a table to identify the range. Amount (dollars), A 0132 654 0 154530 756090 Number of tickets, n The range of the function is 0, 15, 30, 45, 60, 75, and 90.

10. Graph a function EXAMPLE 1 STEP 2 Plot a point for each ordered pair (x, y).

11. STEP 2 Plot the points EXAMPLE 2 Graph a function

12. Replacement Set {0,1,2,5} is the replacement set for inputs for f(x)=2x+1 What is the replacement set for outputs?

13. Evaluate Functions Evaluate f(x)=x 2 +1 for f(4) F(10)

14. Linear vs. Quadratic Graphs as a _____ Power of x is ___ _____is constant Graphs as a _____ Power of x is _____ _____ is not constant but is changing at a constant rate

15. Linear vs. Quadratic inputsoutputs 015 121 227 333 439 545 x Inputsoutputs 05 16 29 314 421 530 x

16. Is it linear, quadratic or neither? inputsoutputs 0-2 1 22 37 414 inputsoutputs 04 12 2-4 3-6 4-10 inputsoutputs 0-5 1-4 2 30 41 inputsoutputs 0 14 29 314 419 inputsoutputs 09 110 213 318 425 inputsoutputs 07 15 23 31 4

17. RESET CALCULATOR GO TO MEMORY (2 ND THEN +) SELECT RESET (7) ALL RAM (1) RESET (2)

18. How to plot points on calculator Enter Data into Lists Turn Stat Plot On Window or ZoomStat Calculator goes here

19. Linear Regression Press STAT Go To CALC Select 4 for linear regression Press Enter Input into y= Graph

20. Quadratic Regression Press STAT Go To CALC Select 5 for quadratic regression Press Enter Input into y= Graph