Explanation Calculation: Given, The functions, f ( x ) = − sin x g ( x ) = − 3 sin x First let us find the period and amplitude of the above function f ( x ) and thereby find the 5 key points to sketch its graph. For f ( x ) = − sin x , we have a = − 1 , b = 1 , c = 0 , and d = 0 Thus, we have Period 2 π b = 2 π 1 = 2 π Amplitude | a | = | − 1 | = 1 Thus, the graph of f ( x ) = − sin x completes its one cycle in the interval [ 0 , 2 π ] , which corresponds to the following key points. Intercept Maximum Intercept Minimum Intercept ( 0 , 0 ) ( π 2 , 1 ) ( π , 0 ) ( 3 π 2 , − 1 ) ( 2 π , 0 ) Now, find the period and amplitude of the above function g ( x ) and thereby find the 5 key points to sketch its graph

10th Edition

ISBN: 9781337271073

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 4.5, Problem 30E

To determine

To sketch:

The graphs of the function f and g in the same coordinate plane.

f(x)=−sinx

g(x)=−3sinx

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Chapter 4.5, Problem 29E

Chapter 4.5, Problem 31E

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The graphs of the function f and g in the same coordinate plane. f ( x ) = − sin x g ( x ) = − 3 sin x

Solution Summary: The author explains how to sketch the graphs of the functions f and g in the same coordinate plane.

Videos

To sketch:

The graphs of the function f and g in the same coordinate plane.

f(x)=−sinx

g(x)=−3sinx

Want to see the full answer?

Chapter 4 Solutions

The graphs of the function f and g in the same coordinate plane. f ( x ) = − sin x g ( x ) = − 3 sin x

Solution Summary: The author explains how to sketch the graphs of the functions f and g in the same coordinate plane.

Videos

To sketch: The graphs of the function f and g in the same coordinate plane. f(x)=−sinx g(x)=−3sinx

Want to see the full answer?

Chapter 4 Solutions

To sketch:

The graphs of the function f and g in the same coordinate plane.

f(x)=−sinx

g(x)=−3sinx