4. Select Radians and set b to 1, 2, and then 4, to graph y = sin(x), y = sin(2x) and y = sin(4x). %3D A. What is the period of y = sin(x)?_ Of y = sin(2x)? Of y = sin(4x)? %3D %3D B. Select Cosine. What is the period of y= cos(2x)?_ Of y = cos(4x)? C. What do you think is the period of y = sin(0.5x)?_ Of y = cos(0.5x)? Explain why.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. Select Radians and set b to 1, 2, and then 4, to graph y = sin(x), y = sin(2x) and y=sin(4x).
%3D
A. What is the period of y = sin(x)?
Of y = sin(2x)?
Of y = sin(4x)?
%3D
B. Select Cosine. What is the period of y= cos(2x)?
Of y = cos(4x)?
C. What do you think is the period of y = sin(0.5x)?
Of y = cos(0.5x)?
%3D
Explain why.
D. Try some negative values of b. How do negative values of b affect the graphs?
E. What do you think is the period of y = sin(-0.5x)?
Use the Gizmo to check.
F. Explain why the period is positive even when b is negative.
|
5. In general, how does the value of b affect sine and cosine graphs?
6. Fill in the blanks to write a function for each graph. Then check your functions in the Gizmo.
A
А.
В.
(0, 1.5)
元
-90°
96°
180°
(0.25л, -0.5)
-1
y =.
sin
y =
COS
Transcribed Image Text:4. Select Radians and set b to 1, 2, and then 4, to graph y = sin(x), y = sin(2x) and y=sin(4x). %3D A. What is the period of y = sin(x)? Of y = sin(2x)? Of y = sin(4x)? %3D B. Select Cosine. What is the period of y= cos(2x)? Of y = cos(4x)? C. What do you think is the period of y = sin(0.5x)? Of y = cos(0.5x)? %3D Explain why. D. Try some negative values of b. How do negative values of b affect the graphs? E. What do you think is the period of y = sin(-0.5x)? Use the Gizmo to check. F. Explain why the period is positive even when b is negative. | 5. In general, how does the value of b affect sine and cosine graphs? 6. Fill in the blanks to write a function for each graph. Then check your functions in the Gizmo. A А. В. (0, 1.5) 元 -90° 96° 180° (0.25л, -0.5) -1 y =. sin y = COS
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