1. Warm-Up Exercises 1. Make a table for y = 2x + 3 with domain 0, 3, 6, and 9. 2. Write a rule for the function. ANSWER y = 3x + 1 x0369 y391521 Input, x 0249 Output, y 171328 Homework- Page 52 # 2-12 all, 15, 16 AND Page 54 #1-9 all

2. Warm-Up Exercises Graph a function EXAMPLE 1 STEP 1 Make an input-output table. SOLUTION Graph the function y = x with domain 0, 2, 4, 6, and 8. 1 2 x02468 y01234

3. Warm-Up Exercises Graph a function EXAMPLE 1 STEP 2 Plot a point for each ordered pair (x, y).

4. Warm-Up Exercises GUIDED PRACTICE 2. Graph the function y = 2x – 1 with domain 1, 2, 3, 4, and 5. ANSWER

5. Warm-Up Exercises Graph a function EXAMPLE 3 The table shows the average score s on the mathematics section of the Scholastic Aptitude Test (SAT) in the United States from 1997 to 2003 as a function of the time t in years since 1997. In the table, 0 corresponds to the year 1997, 1 corresponds to 1998, and so on. Graph the function. 519516514 511512511 Average score, s 6543210 Years since 1997, t SAT Scores

6. Warm-Up Exercises SOLUTION STEP 1 Choose a scale. The scale should allow you to plot all the points on a graph that is a reasonable size. EXAMPLE 3 Graph a function The s -values range from 511 to 519, so label the s- axis from 510 to 520 in increments of 2 units. The t -values range from 0 to 6, so label the t -axis from 0 to 6 in increments of 1 unit.

7. Warm-Up Exercises STEP 2 Plot the points. EXAMPLE 4 Graph a function

8. Warm-Up Exercises Write a function rule for a graph EXAMPLE 5 Write a rule for the function represented by the graph. Identify the domain and the range of the function. SOLUTION STEP 1 Make a table for the graph. x12345 y23456

9. Warm-Up Exercises Write a function rule for a graph EXAMPLE 5 STEP 2 Find a relationship between the inputs and the outputs. Notice from the table that each output value is 1 more than the corresponding input value. STEP 3 Write a function rule that describes the relationship: y = x + 1. A rule for the function is y = x + 1. The domain of the function is 1, 2, 3, 4, and 5. The range is 2, 3, 4, 5, and 6. ANSWER

10. Warm-Up Exercises Example 7 Write a rule for the function represented by the graph. Identify the domain and the range of the function. ANSWER y = 5 – x ; domain: 0, 1, 2, 3, and 4, range: 1, 2, 3, 4, and 5

11. Warm-Up Exercises Example 8 for Example 3 Write a rule for the function represented by the graph. Identify the domain and the range of the function. ANSWER y = 5x + 5 ; domain: 1, 2, 3, and 4, range: 10, 15, 20, and 25

12. Warm-Up Exercises Daily Homework Quiz ANSWER Graph the function y = x + 2 with domain 2, 4, 6, and 8. 1 2 1.

13. Warm-Up Exercises Daily Homework Quiz Write a rule for the function represented by the graph. Identify the domain and the range of the function. 2. ANSWER y = – 1 2 x + 6; Domain : 0, 2, 4, 6, 8; Range : 2, 3, 4, 5, 6

14. Warm-Up Exercises

16. Warm-up: Read and take notes on page 47 then try and complete #1-6 all. Homework: Packet given in class.

17. Warm-Up Exercises

18. Vertical Line Test- Given a graph it is a function provided that no vertical line passes through more than one point on the graph.