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EVALUATING FUNCTIONS FROM GRAPHS AND TABLES

EVALUATING FUNCTIONS FROM GRAPHS AND TABLES. SECTIONS 5.1 & 14.1C. Function notation replaces the independent variable, y with either f(x), g(x), or h(x). f. of. x. f(x) is read as “ ____ _____ _____”. Does not mean multiplication!. g. of. x.

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EVALUATING FUNCTIONS FROM GRAPHS AND TABLES

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

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

  3. EXAMPLE 1: If Find

  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. What does y equal when x = 10? Domain Range 2 5 10 8 11 16

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

  14. Example 3: Use the set of ordered pairs, table, or mapping to find the following. 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 1 12 2 16 3 20 4 24 5 28 6 32 7 36 8 40 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 1 12 2 16 3 20 4 24 5 28 6 32 7 36 8 40 $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. 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. depends on the number of CD purchased x . The total cost dependent is called the _______________ variable. independent is called the ________________ variable

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

  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. Domain: Range:

  22. 40 30 20 10 1 2 3 4 5 6 7 8

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