The resulting graph should look the same as the first graph in this example. This leads to the obvious question, "Why go to all this trouble if you end up with the same thing?" There are various answers to this question, but perhaps the simplest is this: later on we'll learn many wonderful things you can do with parametrizations, and we want to be sure that we can do these things to plain old regular graphs of functions.. Exercise 1 Duplicate the following picture as closely as possible by parametrizing each line segment and displaying them together. You should turn in the parametrizations of the segments and your final picture; you do not need to hand in pictures showing the plot of each individual line segment! Hint: The ends of the line segments are the following points: (1,1), (5,2), (6,4), (3,7), (3,5), (0.5,4). Exercise 2 Follow the instructions for Exercise 1 with the following picture. The ends of the line segments are now (-2,1), (0,2), (2,1), (1,-1), and (-1,-1).
The resulting graph should look the same as the first graph in this example. This leads to the obvious question, "Why go to all this trouble if you end up with the same thing?" There are various answers to this question, but perhaps the simplest is this: later on we'll learn many wonderful things you can do with parametrizations, and we want to be sure that we can do these things to plain old regular graphs of functions.. Exercise 1 Duplicate the following picture as closely as possible by parametrizing each line segment and displaying them together. You should turn in the parametrizations of the segments and your final picture; you do not need to hand in pictures showing the plot of each individual line segment! Hint: The ends of the line segments are the following points: (1,1), (5,2), (6,4), (3,7), (3,5), (0.5,4). Exercise 2 Follow the instructions for Exercise 1 with the following picture. The ends of the line segments are now (-2,1), (0,2), (2,1), (1,-1), and (-1,-1).
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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