The graphs of four functions f, g, h, and i are shown below. -21 Read carefully: The functions below must be written in terms of f, 9, h, or i as indicated. If your answer only includes the letter r without one of the functions indicated, it will not be answering the question correctly. Although you may realize that f(x) = x², use the general name f for this function and not the a. The point of this question is to understand how transformations work on general functions, not just on specific functions. This kind of remark is typically not included in questions as the question does explicitly tell you how to write your answer. The remark is added here to help you learn as it addresses a common mistake on the midterm. a. Write g(x) in terms of transformations of f. Then g(x) = Preview b. Write f(x) in terms of transformations of g. Then f(x) = Preview c. Write h(x) in terms of transformations of f. Then h(x) = Preview d. Write i(x)in terms of vertical transformations of f that can only occur at integer multiples of 0.5 (so 0.5, -0.5, 1, etc). i(x) = Preview %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
The graphs of four functions f, g, h, and i are shown below.
3
2
4.
-1
+1
-4
Read carefully: The functions below must be written in terms of
f,
9,
h, or
i as indicated. If your answer only includes the letter x without one of the functions indicated, it will not be answering the question correctly.
Although you may realize that f(x) = x“, use the general name f for this function and not the x. The point of this question is to understand
how transformations work on general functions, not just on specific functions. This kind of remark is typically not included in questions as the
question does explicitly tell you how to write your answer. The remark is added here to help you learn as it addresses a common mistake on the
midterm.
a. Write g(x) in terms of transformations of f. Then g(x) =
Preview
b. Write f(x) in terms of transformations of g. Then f(x)
Preview
c. Write h(x) in terms of transformations of f. Then h(x)
Preview
d. Write i(x)in terms of vertical transformations of f that can only occur at integer multiples of 0.5 (so 0.5, -0.5, 1, etc).
i(x) =
Preview
6.
%24
Transcribed Image Text:The graphs of four functions f, g, h, and i are shown below. 3 2 4. -1 +1 -4 Read carefully: The functions below must be written in terms of f, 9, h, or i as indicated. If your answer only includes the letter x without one of the functions indicated, it will not be answering the question correctly. Although you may realize that f(x) = x“, use the general name f for this function and not the x. The point of this question is to understand how transformations work on general functions, not just on specific functions. This kind of remark is typically not included in questions as the question does explicitly tell you how to write your answer. The remark is added here to help you learn as it addresses a common mistake on the midterm. a. Write g(x) in terms of transformations of f. Then g(x) = Preview b. Write f(x) in terms of transformations of g. Then f(x) Preview c. Write h(x) in terms of transformations of f. Then h(x) Preview d. Write i(x)in terms of vertical transformations of f that can only occur at integer multiples of 0.5 (so 0.5, -0.5, 1, etc). i(x) = Preview 6. %24
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