Over Lesson 1–4 A.A B.B C.C D.D 5-Minute Check 1 A.V B.P C.Q D.R E.T F.S G.U Name the coordinates of the following points (1, 3) (2, 5) (3, 2) (4, 3) (6, 4) (4, 0) (3, 6)

Splash Screen

Then/Now You have already learned how to represent relations as tables and graphs. (Lesson 1–4) Use multiple representations to represent functions. Translate among different verbal, tabular, graphical, and algebraic representations of functions.

Vocabulary function function rule function table equation

Example 1 Make a Function Table Make a function table for four different input values and write an algebraic expression for the rule. Then state the domain and range of the function. Step 1Create a function table showing the input, rule, and output. Step 2The rule double a number and subtract one translates to 2x – 1. Use the rule to complete the table.

Example 1 Make a Function Table Answer: D = {1, 2, 3, 4}, R = {1, 3, 5, 7} Step 3The domain is {1, 2, 3, 4}. The range is {1, 3, 5, 7}.

A.A B.B C.C D.D Example 1 A.3x – 2 Domain {28, 58, 88, 118} Range {10, 20, 30, 40} B.2 – 3x Domain {28, 58, 88, 118} Range {10, 20, 30, 40} C.3x – 2 Domain {10, 20, 30, 40} Range {28, 58, 88, 118} D.2 – 3x Domain {10, 20, 30, 40} Range {28, 58, 88, 118} Make a function table for the input values 10, 20, 30, and 40. Which shows the correct algebraic expression, domain, and range for the rule? Rule: triple a number and subtract 2

Concept

Example 2A Use Multiple Representations BUSINESS An assembly line produces 30 boxes per hour. A. Write an equation to find the amount of boxes it can produce for any number of hours. Let n represent the number of boxes and h represent the number of hours. Answer: The equation is n = 30h.

Example 2B Use Multiple Representations BUSINESS An assembly line produces 30 boxes per hour. B. Make a function table for 5, 10, 15, and 20 hours of production. Then graph the ordered pairs. Answer:

A.A B.B C.C D.D Example 2A A.n = 6 + h B.n = 6h C.n = h – 6 D.n = 60h + 6 A. Jenny makes $6.00 per hour at her after school job. Write an equation to find the amount of money she can earn for any number of hours.

A.A B.B C.C D.D Example 2B B. Make a function table to find the amount of money Jenny earns for working 10, 20, 30, and 40 hours. A.B. C.D.

A.B. C.D. A.A B.B C.C D.D Example 2B C. Graph the ordered pairs.

End of the Lesson