Explanation Given: The function is f ( x ) = | x | + 1 . Calculation: Find the points to draw the graph of the function y = f ( 2 x ) . The given function is f ( x ) = | x | + 1 . Substitute 2 x in place of x . f ( 2 x ) = | 2 x | + 1 We can rewrite it as: y = | 2 x | + 1 Put x = − 2 in the given function. y = | 2 ( − 2 ) | + 1 = 4 + 1 = 5 Put x = − 1 in the given function. y = | 2 ( − 1 ) | + 1 = 2 + 1 = 3 Put x = 0 in the given function. y = | 2 ( 0 ) | + 1 = 0 + 1 = 1 Put x = 1 in the given function. y = | 2 ( 1 ) | + 1 = 2 + 1 = 3 Put x = 2 in the given function. y = | 2 ( 2 ) | + 1 = 4 + 1 = 5 The points are: x − 2 − 1 0 1 2 y 5 3 1 3 5 The graph is: Now, find the points to draw the graph of the function y = f ( 1 2 x ) . The given function is f ( x ) = | x | + 1

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 1.1, Problem 75E

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Draw the graph of the functions y=f(2x) and y=f(12x).

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Chapter 1.1, Problem 74E

Chapter 1.1, Problem 76E

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Chapter 1 Solutions

Calculus - Standalone book

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Draw the graph of the functions y = f ( 2 x ) and y = f ( 1 2 x ) .

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Draw the graph of the functions y=f(2x) and y=f(12x).

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Chapter 1 Solutions