Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
Carnegie Learning, Inc.
JOURNAL
Use a separate piece of paper for your Journal entry.
Define each term in your
own words.
1 relation
2 function
3 function notation
PRACTICE
REMEMBER
You can represent relationships between quantities in
graphs, tables, equations, and situations.
Two functions are equivalent if their algebraic or graphical
representations are the same.
Ingrid makes quilts in designs that follow a specific pattern. The figures show the first three
designs. In the designs, the white blocks represent blocks containing pictures while the
orange blocks represent border blocks of a single color.
Design 1
Design 2
Design 3
1 Analyze the quilt designs. Describe as many patterns as you can.
2 Write the function p(n) to represent the number of picture blocks in Design n.
Go to LiveHint.com for help
on the PRACTICE questions.
3 Write the function b(n) to represent the number of border blocks in Design n.
4 You can represent the total number of blocks in Design n using the function
t(n) = (n + 2)(n+3). Use the functions you wrote to show that t(n) = p(n) + b(n).
Lesson 3 > Samesies
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Transcribed Image Text:Carnegie Learning, Inc. JOURNAL Use a separate piece of paper for your Journal entry. Define each term in your own words. 1 relation 2 function 3 function notation PRACTICE REMEMBER You can represent relationships between quantities in graphs, tables, equations, and situations. Two functions are equivalent if their algebraic or graphical representations are the same. Ingrid makes quilts in designs that follow a specific pattern. The figures show the first three designs. In the designs, the white blocks represent blocks containing pictures while the orange blocks represent border blocks of a single color. Design 1 Design 2 Design 3 1 Analyze the quilt designs. Describe as many patterns as you can. 2 Write the function p(n) to represent the number of picture blocks in Design n. Go to LiveHint.com for help on the PRACTICE questions. 3 Write the function b(n) to represent the number of border blocks in Design n. 4 You can represent the total number of blocks in Design n using the function t(n) = (n + 2)(n+3). Use the functions you wrote to show that t(n) = p(n) + b(n). Lesson 3 > Samesies
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