Determine whether the following statment is true or false. The graph of y = 3g(x) is the graph of y = g(x) stretched by a factor of 3. Choose the correct answer below. OA. 1 1 False, because the graph of the new function is obtained by multiplying each y-coordinate of y = g(x) by - and B. False, because the graph of the new function is obtained by adding 3 to each x-coordinate. C. True, because the graph of the new function is obtained by multiplying each y-coordinate of y =g(x) by 3 and 3> 1. D. True, because the graph of the new function is obtained by adding 3 to each x-coordinate.
Determine whether the following statment is true or false. The graph of y = 3g(x) is the graph of y = g(x) stretched by a factor of 3. Choose the correct answer below. OA. 1 1 False, because the graph of the new function is obtained by multiplying each y-coordinate of y = g(x) by - and B. False, because the graph of the new function is obtained by adding 3 to each x-coordinate. C. True, because the graph of the new function is obtained by multiplying each y-coordinate of y =g(x) by 3 and 3> 1. D. True, because the graph of the new function is obtained by adding 3 to each x-coordinate.
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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
Transcribed Image Text:**Determine whether the following statement is true or false.**
**The graph of y = 3g(x) is the graph of y = g(x) stretched by a factor of 3.**
**Choose the correct answer below.**
- A. False, because the graph of the new function is obtained by multiplying each y-coordinate of y = g(x) by \(\frac{1}{3}\) and \(\frac{1}{3} < 1\).
- B. False, because the graph of the new function is obtained by adding 3 to each x-coordinate.
- C. True, because the graph of the new function is obtained by multiplying each y-coordinate of y = g(x) by 3 and 3 > 1.
- D. True, because the graph of the new function is obtained by adding 3 to each x-coordinate.
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