( a ) Explanation Definition used: Vertical shifts of graphs: If k is a positive real number, the graph of g ( x ) = f ( x ) + k can be obtained by shifting the graph of f ( x ) upward k units. The graph of g ( x ) = f ( x ) − k can be obtained by shifting the graph of f ( x ) downward k units. Horizontal shifts of graphs: If k is a positive real number, the graph of g ( x ) = f ( x − h ) can be obtained by shifting the graph of f ( x ) to the right h units. The graph of g ( x ) = f ( x + h ) can be obtained by shifting the graph of f ( x ) to the left h units. Stretching and Compressing Graphs: The graph of y = a f ( x ) is obtained by vertically stretching the graph of f ( x ) using a factor of | a | if | a | > 1 and vertically compressing the graph of f ( x ) using a factor of | a | if 0 < | a | < 1 . Calculation: The given function is s = 27 − ( 3 − 10 t ) 3 . By the definition of vertical shifts of graphs it is clear that the graph of y = − ( 3 − 10 t ) 3 is obtained if the graph of the function s = 27 − ( 3 − 10 t ) 3 is shifted downward by 27 units (b) To determine To sketch: The graph of the function s = 27 − ( 3 − 10 t ) 3 inches for 0 ≤ t ≤ 0.3 , t in seconds. (c) To determine To find: The bullet travel during the time period at t = 0.3 .

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

5th Edition

ISBN: 9780134179025

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 4.1, Problem 58E

(a)

To determine

To find: The basic function such that the function s=27−(3−10t)3 inches for 0≤t≤0.3 can be obtained from that.

(b)

To determine

To sketch: The graph of the function s=27−(3−10t)3 inches for 0≤t≤0.3, t in seconds.

(c)

To determine

To find: The bullet travel during the time period at t=0.3.

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Chapter 4.1, Problem 57E

Chapter 4.1, Problem 59E

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Chapter 4 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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The basic function such that the function s = 27 − ( 3 − 10 t ) 3 inches for 0 ≤ t ≤ 0.3 can be obtained from that.

Solution Summary: The author explains how the basic function s=27-(3-10t)3 inches can be obtained from that.

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To find: The basic function such that the function s=27−(3−10t)3 inches for 0≤t≤0.3 can be obtained from that.

To sketch: The graph of the function s=27−(3−10t)3 inches for 0≤t≤0.3, t in seconds.

To find: The bullet travel during the time period at t=0.3.

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Chapter 4 Solutions