Explanation Given: The function is f ( x ) = x 2 a. y = f ( x + 1 ) b. y = f ( x ) + 1 c. y = f ( 5 x ) d. y = 5 f ( x ) Calculation: Part a: Find the points to draw the graph of the function y = f ( x + 1 ) . The given function is f ( x ) = x 2 . Substitute x + 1 in place of x . f ( x + 1 ) = ( x + 1 ) 2 Put x = − 2 in the given function. f ( x + 1 ) = ( − 2 + 1 ) 2 = ( − 1 ) 2 = 1 Put x = − 1 in the given function. f ( x + 1 ) = ( − 1 + 1 ) 2 = ( 0 ) 2 = 0 Put x = 0 in the given function. f ( x + 1 ) = ( 0 + 1 ) 2 = ( 1 ) 2 = 1 Put x = 1 in the given function. f ( x + 1 ) = ( 1 + 1 ) 2 = ( 2 ) 2 = 4 Put x = 2 in the given function. f ( x + 1 ) = ( 2 + 1 ) 2 = ( 3 ) 2 = 9 The points are: x − 2 − 1 0 1 2 f ( x ) 1 0 1 4 9 The graph is: Part b: Find the points to draw the graph of the function y = f ( x ) + 1 . The given function is f ( x ) = x 2 . We can rewrite it as: f ( x ) + 1 = x 2 + 1 Put x = − 2 in the given function. f ( x ) + 1 = ( − 2 ) 2 + 1 = 4 + 1 = 5 Put x = − 1 in the given function. f ( x ) + 1 = ( − 1 ) 2 + 1 = 1 + 1 = 2 Put x = 0 in the given function. f ( x ) + 1 = ( 0 ) 2 + 1 = 0 + 1 = 1 Put x = 1 in the given function. f ( x ) + 1 = ( 1 ) 2 + 1 = 1 + 1 = 2 Put x = 2 in the given function. f ( x ) + 1 = ( 2 ) 2 + 1 = 4 + 1 = 5 The points are: x − 2 − 1 0 1 2 f ( x ) 5 2 1 2 5 The graph is:

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 1.1, Problem 78E

To determine

a. Draw the graph of the function over [−2,2].

b. Draw the graph of the function over [−2,2].

c. Draw the graph of the function over [−2,2].

d. Draw the graph of the function over [−2,2].

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Chapter 1.1, Problem 77E

Chapter 1.1, Problem 79E

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Chapter 1 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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Prob. 33CRE Ch. 1 - Prob. 34CRE Ch. 1 - Prob. 35CRE Ch. 1 - Prob. 36CRE Ch. 1 - Prob. 37CRE Ch. 1 - Prob. 38CRE Ch. 1 - Prob. 39CRE Ch. 1 - Prob. 40CRE Ch. 1 - Prob. 41CRE Ch. 1 - Prob. 42CRE Ch. 1 - Prob. 43CRE Ch. 1 - Prob. 44CRE Ch. 1 - Prob. 45CRE Ch. 1 - Prob. 46CRE Ch. 1 - Prob. 47CRE Ch. 1 - Prob. 48CRE Ch. 1 - Prob. 49CRE Ch. 1 - Prob. 50CRE Ch. 1 - Prob. 51CRE Ch. 1 - Prob. 52CRE Ch. 1 - Prob. 53CRE Ch. 1 - Prob. 54CRE

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a. Draw the graph of the function over [ − 2 , 2 ] . b. Draw the graph of the function over [ − 2 , 2 ] . c. Draw the graph of the function over [ − 2 , 2 ] . d. Draw the graph of the function over [ − 2 , 2 ] .

Solution Summary: The author explains how to draw the graph of the function y=f(x+1).

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a. Draw the graph of the function over [−2,2].

b. Draw the graph of the function over [−2,2].

c. Draw the graph of the function over [−2,2].

d. Draw the graph of the function over [−2,2].

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Chapter 1 Solutions

a. Draw the graph of the function over [ − 2 , 2 ] . b. Draw the graph of the function over [ − 2 , 2 ] . c. Draw the graph of the function over [ − 2 , 2 ] . d. Draw the graph of the function over [ − 2 , 2 ] .

Solution Summary: The author explains how to draw the graph of the function y=f(x+1).

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a. Draw the graph of the function over [−2,2]. b. Draw the graph of the function over [−2,2]. c. Draw the graph of the function over [−2,2]. d. Draw the graph of the function over [−2,2].

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Chapter 1 Solutions

a. Draw the graph of the function over [−2,2].

b. Draw the graph of the function over [−2,2].

c. Draw the graph of the function over [−2,2].

d. Draw the graph of the function over [−2,2].