Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Chapter 9.4, Problem 43E
To determine

To find: The graph for the given function.

Expert Solution & Answer
Check Mark

Answer to Problem 43E

The required graph is shown in Figure 1.

Explanation of Solution

Given:

The given function is g(x)=sin12x2 .

Calculation:

Consider the given function is,

  g(x)=sin12x2

Compare the above equation with the general form g(x)=acos(xh)+k .

Then,

  a=|1|b=12h=0k=2

From above and from the given function the period is obtained as,

  2πb=2π12=4π

Then, determine the five key points as,

First,

  (0,0+k)=(0,02)=(0,2)

Second,

  (122πb,0+k)=(124π,02)=(2π,2)

Third, the maximum is,

  (2πb,0+k)=(4π,2)=(4π,2)

Fourth point the maximum.

  (142πb,a+k)=(144π,12)=(π,3)

Fifth point, the minimum.

  (342πb,a+k)=(344π,12)=(3π,1)

From the points, the graph for the function is shown in Figure 1.

  Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 9.4, Problem 43E

Figure 1

Chapter 9 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

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