1. EVALUATING FUNCTIONS FROM GRAPHS AND TABLES SECTIONS 5.1 & 14.1C

2. Does not mean multiplication! Function notation replaces the independent variable, y with either f(x), g(x), or h(x). f(x) is read as “ ____ _____ _____” g(x) is read as “ ____ _____ _____” h(x) is read as “ ____ _____ _____” fofx g x h x

3. EXAMPLE 1: IfFind

4. EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = -2?

5. EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = 0?

6. EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = 3?

7. EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = 6?

8. Try these… Use the graph of below to find the following values.

9. Example 3: Use the set of ordered pairs, table, or mapping to find the following. 2 5 10 8 11 16 Domain Range What does y equal when x = 10?

10. Example 3: Use the set of ordered pairs, table, or mapping to find the following. 2 5 10 8 11 16 Domain Range What does y equal when x = 2?

11. Example 3: Use the set of ordered pairs, table, or mapping to find the following. What does y equal when x = 0?

12. Example 3: Use the set of ordered pairs, table, or mapping to find the following. What does y equal when x = 8?

13. Example 3: Use the set of ordered pairs, table, or mapping to find the following. -5-4023 5-4 70-8 What does y equal when x = 8?

14. Example 3: Use the set of ordered pairs, table, or mapping to find the following. -5-4023 5-4 70-8 What does y equal when x = 3?

15. A table of values can help you to determine a rule for a linear function. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. An initial deposit is included in the amounts. Write an equation for the function. X Y 112 216 320 424 528 632 736 840 Look for a pattern in the range > Look for a pattern in the domain > Set it up as a ratio of range to domain > This is your cost per hour (rental fee). $4.00 per hour

16. A table of values can help you to determine a rule for a linear function. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. An initial deposit is included in the amounts. Write an equation for the function. X Y 112 216 320 424 528 632 736 840 $4.00 per hour If the total cost to rent the bike for 1 hour is $12, and it cost ______ per hour, your initial deposit must have been ________.

17. The table below shows the amount that a company charges for a raft rental for up to 10 hours. An initial deposit is included in the amounts shown. Write an equation for the function. Time in hours, x 12345678910 Rental cost in dollars, f(x) 15202530354045505560 If the total cost to rent the raft for 1 hour is $15, and it cost $5 per hour, your initial deposit must have been… Total cost = cost per hour + deposit

18. The equation shows the costs associated with being a member of a DVD club that charges a membership fee. x = the number of CDs purchased and = the total cost How much is the membership fee? What is the cost per DVD?

19. The equation shows the costs associated with being a member of a DVD club that charges a membership fee. x = the number of CDs purchased and = the total cost Linear equations contain an independent variable and a dependent variable. The total cost depends on the number of CD purchased x. is called the ________________ variable is called the _______________ variable. dependent independent

20. On a graph, the independent variable is on the ________________ axis and dependent variable is on the _______________ axis. independent dependent horizontal vertical

21. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. 1. List the domain and range. 2. Write an equation for the function. 3. Graph the function. Time in hours, x 12345678 Rental cost in dollars, f(x) 1216202428323640 Domain: Range:

22. 10 20 40 30 12345678