Over Lesson 1–4

A. AB. BC. CD. D

A. VB. PC. QD. RE. TF. SG. U

Name the coordinates of the following points

(1, 3)(2, 5)(3, 2)(4, 3)(6, 4)(4, 0)(3, 6)

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.

• function

• function rule• function table• equation

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 1 Create a function tableshowing the input,

rule, and output.

Step 2 The rule double anumber and subtractone translates to 2x – 1.Use the rule to completethe table.

Make a Function Table

Answer: D = {1, 2, 3, 4}, R = {1, 3, 5, 7}

Step 3 The domain is {1, 2, 3, 4}. The range is {1, 3, 5, 7}.

A. AB. BC. CD. D

A. 3x – 2Domain {28, 58, 88, 118}Range {10, 20, 30, 40}

B. 2 – 3xDomain {28, 58, 88, 118}Range {10, 20, 30, 40}

C. 3x – 2Domain {10, 20, 30, 40}Range {28, 58, 88, 118}

D. 2 – 3xDomain {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

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.

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. AB. BC. CD. D

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. AB. BC. CD. D

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. AB. BC. CD. D

C. Graph the ordered pairs.