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a. Is a(n) = a₁ + (n − 1)d a linear function? Explain. If not, how can you adjust its definition so that it is a - linear function? What is the slope? b. What type of function does a(n) air suggest? To what family of functions does this function belong? Explain how it is related to the parent function of that family. Draw its graph. a₁ (1-r") ? By S(n) = (a₁ + a(n))? 1-r c. What type of function is suggested by the sum sequence S (n) Explain each answer.

a. Is a(n) = a₁ + (n − 1)d a linear function? Explain. If not, how can you adjust its definition so that it is a - linear function? What is the slope? b. What type of function does a(n) air suggest? To what family of functions does this function belong? Explain how it is related to the parent function of that family. Draw its graph. a₁ (1-r") ? By S(n) = (a₁ + a(n))? 1-r c. What type of function is suggested by the sum sequence S (n) Explain each answer.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please help me with task 2
BIG idea: Equivalence You can represent any function in an unlimited number of ways, where all representations have the same domain and the same pairing of inputs with outputs. Task 2 A sequence is a function with domain the natural numbers 1, 2, 3, .... Using function notation, you can write the sequence an = ª₁ + (n − 1)d as a (n) = a₁ + (n − 1)d and the sequence an= a₁7¹¹ as a (n) = α₁¹-¹. a. Is a(n) = a₁ + (n − 1)d a linear function? Explain. If not, how can you adjust its definition so that it is a linear function? What is the slope? b. What type of function does a(n) = air"-¹ suggest? To what family of functions does this function belong? Explain how it is related to the parent function of that family. Draw its graph. a₁ (1-²) 1-r c. What type of function is suggested by the sum sequence S (n) Explain each answer. ? By S(n) = (a₁ + a (n)) ?
Transcribed Image Text:BIG idea: Equivalence You can represent any function in an unlimited number of ways, where all representations have the same domain and the same pairing of inputs with outputs. Task 2 A sequence is a function with domain the natural numbers 1, 2, 3, .... Using function notation, you can write the sequence an = ª₁ + (n − 1)d as a (n) = a₁ + (n − 1)d and the sequence an= a₁7¹¹ as a (n) = α₁¹-¹. a. Is a(n) = a₁ + (n − 1)d a linear function? Explain. If not, how can you adjust its definition so that it is a linear function? What is the slope? b. What type of function does a(n) = air"-¹ suggest? To what family of functions does this function belong? Explain how it is related to the parent function of that family. Draw its graph. a₁ (1-²) 1-r c. What type of function is suggested by the sum sequence S (n) Explain each answer. ? By S(n) = (a₁ + a (n)) ?
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