2. Lesson Menu Main Idea and New Vocabulary Example 1:Real-World Example: Graph a Function Example 2:Graph a Function Key Concept:Representing Functions Example 3:Continuous and Discrete Data Example 4:Continuous and Discrete Data Example 5:Continuous and Discrete Data

3. Main Idea/Vocabulary Represent linear functions using function tables and graphs. Determine whether a set of data is continuous or discrete. linear function continuous data discrete data

4. Example 1 MUSIC During a clearance sale, a music store is selling CDs for $3 and tapes for $1. Graph the function y = 6 – 3x to find how many CDs x and tapes y Bill can buy with $6. Step 1Choose values for x and substitute them to find y. Graph a Function

5. Example 1 Step 2Graph the ordered pairs (x, y). Answer: Therefore, he can buy 0 CDs and 6 tapes, 1 CD and 3 tapes, or 2 CDs and 0 tapes. Graph a Function Bill cannot buy negative amounts, so (3, –3) is not a solution.

6. Example 1 CYP GIFTS A stationery store sells rolls of gift bags for $3 each and birthday cards for $1 each. Rachel has $10 to spend on b gift bags and c cards. Graph the equation 10 – 3b to find how many gift bags and cards Rachel can buy. Which of the following combinations is not possible? A.0 gift bags and 10 cards B.1 gift bag and 7 cards C.2 gift bags and 5 cards D.3 gift bags and 1 card

7. Example 2 Graph y = x – 3. Select any four values for the domain x. Substitute these values for x to find the value of y. Graph a Function

8. Example 2 The line is the complete graph of the function. The ordered pair corresponding to any point on the line is a solution of the equation y = x – 3. Graph a Function Graph each ordered pair. Draw a line that passes through each point. Answer:

9. Example 2 y=x – 3Write the function. Graph a Function CheckIt appears that (4, 1) is also a solution. Check this by substitution. 1=1Simplify. 1=4 – 3Replace x with –2 and y with 0. ?

10. Example 2 CYP Graph y = x + 4. A.B. C.D.

11. Key Concept

12. Example 3 Continuous and Discrete Data HEALTH CLUB Each member of a health club receives two free guest passes. Write a function to represent the situation. Let p represent the number of free passes and m represent the number of members. Answer: The function is p = 2m.

13. Example 3 CYP ART The cost for admission to the art museum is $4 per person. Write a function to represent this situation. Let c represent the cost and p represent the number of people. A.c = 4p B.c = 4 + p C.p = 4 + c D.p = 4c

14. Example 4 HEALTH CLUB Each member of a health club receives two free guest passes. Make a function table to show the number of guest passes given out to 10, 20, 30, and 40 members. Continuous and Discrete Data Answer:

15. Example 4 CYP ART The cost for admission to the art museum is $4 per person. Make a function table to show the cost for 5, 10, 15, and 20 people. Let c represent the cost and p represent the number of people. A.B. C.D.

16. Example 5 Continuous and Discrete Data HEALTH CLUB Each member of a health club receives two free guest passes. Graph the function. Is the function continuous or discrete? Explain. Use the ordered pairs from the function table to graph the function.

17. Example 5 There can only be a whole number amount of health club members. The function is discrete. So, the points are not connected. Continuous and Discrete Data Answer:The function is discrete. The number of health club members can only be represented by whole numbers.

18. Example 5 CYP ART The cost for admission to the art museum is $4 per person. Graph the function. Is the function continuous or discreet. A.B. C.D. continuous; discrete;