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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.
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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.