1. 1.6 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Represent Functions as Rules and Tables

2. 1.6 Warm-Up 1. Write an expression: 7 more than a number x. 2. Determine if 3 is a solution of 2x – 4 = 2. ANSWER x + 7 ANSWER 2 = 2; 3 is a solution. 3. Gae spent $4 more than twice as much as Casey at a store. If Casey spent $6, how much did Gae spend? ANSWER $16

3. 1.6 The input-output table shows the cost of various amounts of regular unleaded gas from the same pump. Identify the domain and range of the function. ANSWER 42.99, 51.59, 55.89, and 73.08. The domain is the set of inputs: 10, 12, 13, and 17. The range is the set of outputs: Example 1

4. 1.6 Identify the domain and range of the function. domain: 0, 1, 2, and 4 range: 1, 2, and 5 ANSWER Guided Practice

5. 1.6 Tell whether the pairing is a function. a. a. The pairing is not a function because the input 0 is paired with both 2 and 3. Example 2

6. 1.6 b.b. The pairing is a function because each input is paired with exactly one output. Example 2

7. 1.6 Tell whether the pairing is a function. ANSWER function Guided Practice ANSWER not a function 2. 3.

8. 1.6 The range of the function is 0, 4, 10, 14, and 16. The domain of the function y = 2x is 0, 2, 5, 7, and 8. Make a table for the function, then identify the range of the function. SOLUTION Example 3

9. 1.6 4. Make a table for the function y = x – 5 with domain 10, 12, 15, 18, and 29. Then identify the range of the function. range: 5, 7, 10, 13 and 24. ANSWER y = x – 5 10121815 572410 x Guided Practice

10. 1.6 Write a rule for the function. 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. Example 4

11. 1.6 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. Example 5

12. 1.6 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 = 4  n Example 5

13. 1.6 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. The range of the function is 0, 15, 30, 45, 60, 75, and 90. Example 5

14. 1.6 5. Write a rule for the function. Identify the domain and the range. y = 8x ; domain: 1, 2, 3, and 4 ; range: 8, 16, 24, and 32. ANSWER Guided Practice

15. 1.6 ANSWER range : 1, 3, 5, 7 1. The domain of the function is 0, 3, 6 and 9. 2 3 y = x + 1 Make a table for the function. Identify the range of the function Lesson Quiz

16. 1.6 2. Write a rule for the function. ANSWER y = 1.5x Lesson Quiz

17. 1.6 ANSWER p = 8b; range : 40, 80, 120, 160, 200 3. Jasmine sells bracelets. Her profit on each bracelet is $8. Write a rule that shows her total profit p as a function of the number of bracelets b she sells. Write the range of the function if the domain is 5, 10, 15, 20, and 25. Lesson Quiz