4. Suppose you have a function y= g(x) with domain {x-3

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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4. Suppose you have a function y g(x) with domain {x-3<x57} and range {y-9sys5}.
a. Explain in words how the graph of y = g(-3x)+1 could be obtained from the graph of
y = g(x) by transformations. Use words like shift, reflect, stretch, compress, horizontal,
vertical, left, right, up, down.
b. State the DOMAIN of y = g(-3x)+1. Hint-think about how each of the transformations
you described changes the original domain.
c. State the RANGE of y = g(-3x)+1. Hint-think about how each of the transformations you
described changes the original range.
Transcribed Image Text:4. Suppose you have a function y g(x) with domain {x-3<x57} and range {y-9sys5}. a. Explain in words how the graph of y = g(-3x)+1 could be obtained from the graph of y = g(x) by transformations. Use words like shift, reflect, stretch, compress, horizontal, vertical, left, right, up, down. b. State the DOMAIN of y = g(-3x)+1. Hint-think about how each of the transformations you described changes the original domain. c. State the RANGE of y = g(-3x)+1. Hint-think about how each of the transformations you described changes the original range.
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