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Graphs of Sine and Cosine (2525969)
Current Score:
0/62
Due:
Thu Jun 28 2012 11:00 AM CDT
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2
0/1 0/1 0/1 0/2 0/4 0/1 0/1 0/24 0/4 0/2 0/2 0/2 0/2 0/2 0/2 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/
Question
0/62
Points
1.
Total
0/1 points
SulPreCalc7 5.4.006. [362497]
-
SulPreCalc7 5.4.008. [362571]
-
SulPreCalc7 5.4.014. [362611]
-
SulPreCalc7 5.4.039. [362649]
-
SwokPreCalc12 5.5.026. [1780311]
-
The graphs of y = sin x and y = cos x are identical except for a horizontal shift.
true
false
2.
0/1 points
The graph of the sine function has infinitely many x-intercepts.
true
false
3.
0/1 points
What is the smallest value of y = cos x? If necessary, refer to the graphs to answer this question.
-1
4.
0/2 points
Determine the amplitude and period of this function without graphing.
y = -3 cos(2x)
amplitude
3
period
pi
5.
0/4 points
Find the amplitude, the period, and the phase shift.
y = 1 cos π x
4
5
amplitude
period
phase shift
Sketch the graph of the equation.
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6.
Page 2 of 14
0/1 points
SulPreCalc7 5.4.007. [362620]
-
SulPreCalc7 5.4.013. [362500]
-
SwokPreCalc12 5.5.001. [1779894]
-
For y = 2 sin(πx), the amplitude is 2 and the period is π/2.
true
false
7.
0/1 points
What is the largest value of y = sin x? If necessary, refer to the graphs to answer this question.
1
8.
0/24 points
Find the amplitude and the period and sketch the graph of the equation.
(a)
y = 5 sin x
amplitude
5
period
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(b)
Page 3 of 14
y = sin 8x
amplitude
1
period
y = 1 sin x
4
amplitude
(c)
1/4
period
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y = sin 1 x
8
amplitude
Page 4 of 14
(d)
1
period
(e)
y = 3 sin 1 x
6
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amplitude
Page 5 of 14
3
period
y = 1 sin 8x
2
amplitude
(f)
1/2
period
(g)
y = −3 sin x
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amplitude
Page 6 of 14
3
period
(h)
y = sin(−6x)
amplitude
1
period
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9.
Page 7 of 14
0/4 points
SwokPreCalc12 5.5.023. [1779824]
-
SulPreCalc7 5.4.040. [362493]
-
SulPreCalc7 5.4.041. [362577]
-
Find the amplitude, the period, and the phase shift.
y = 4 cos
π
x
4
amplitude
period
phase shift
Sketch the graph of the equation.
10.
0/2 points
Determine the amplitude and period of this function without graphing.
amplitude
1
period
(2*pi)/(1/8)
11.
0/2 points
Determine the amplitude and period of this function without graphing.
y = 9 sin(πx)
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Page 8 of 14
amplitude
9
period
2
12.
0/2 points
SulPreCalc7 5.4.042. [362671]
-
SulPreCalc7 5.4.043. [362659]
-
SulPreCalc7 5.4.044. [362657]
-
SulPreCalc7 5.4.045. [362542]
-
SulPreCalc7 5.4.047. [362576]
-
Determine the amplitude and period of this function without graphing.
y = -3 cos (3x)
amplitude
3
period
(2*pi)/3
13.
0/2 points
Determine the amplitude and period of this function without graphing.
amplitude
0.25
period
(2*pi)/(5/4)
14.
0/2 points
Determine the amplitude and period of this function without graphing.
amplitude
1.17
period
5*pi
15.
0/2 points
Determine the amplitude and period of this function without graphing.
amplitude
1.4
period
(2*pi)/(4*pi/5)
16.
0/1 points
Match the given function to one of the graphs.
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Page 9 of 14
A
B
C
D
E
F
G
H
I
J
(A)
(D)
(G)
(B)
(C)
(E)
(F)
(H)
(I)
(J)
17.
0/1 points
SulPreCalc7 5.4.048. [362602]
-
Match the given function to one of the graphs.
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Page 10 of 14
A
B
C
D
E
F
G
H
I
J
(A)
(D)
(G)
(B)
(C)
(E)
(F)
(H)
(I)
(J)
18.
0/1 points
SulPreCalc7 5.4.049. [362639]
-
Match the given function to one of the graphs.
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Page 11 of 14
A
B
C
D
E
F
G
H
I
J
(A)
(D)
(G)
(B)
(C)
(E)
(F)
(H)
(I)
(J)
19.
0/1 points
SulPreCalc7 5.4.050. [362644]
-
Match the given function to one of the graphs.
---Select---
F
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Page 12 of 14
(A)
(B)
(C)
(D)
(E)
(F)
(G)
(H)
(I)
20.
(J)
0/1 points
SulPreCalc7 5.4.054. [362606]
-
Match the given function to one of the graphs.
---Select---
E
(A)
(B)
(C)
(D)
(E)
(F)
(G)
(H)
(I)
21.
0/1 points
(J)
SulPreCalc7 5.4.055. [362570]
-
Match the given function to one of the graphs.
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Page 13 of 14
A
B
C
D
E
F
G
H
I
J
(A)
(D)
(G)
(B)
(C)
(E)
(F)
(H)
(I)
(J)
22.
0/1 points
SulPreCalc7 5.4.071. [362537]
-
SulPreCalc7 5.4.073. [362684]
-
Write the equation of a sine function that has the given characteristics.
Amplitude: 3
Period: π
y=
23.
3 sin(2x)
0/1 points
Write the equation of a sine function that has the given characteristics.
Amplitude: 3
Period: 2
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y=
24.
Page 14 of 14
3*sin(pi*x)
0/1 points
SulPreCalc7 5.4.077. [362482]
-
SulPreCalc7 5.4.079. [362675]
-
SulPreCalc7 5.4.081. [362599]
-
Find an equation for this graph.
y=
25.
-3 cos((1/2)x)
0/1 points
Find an equation for this graph.
y=
26.
(3/4)*sin(2*pi*x)
0/1 points
Find an equation for this graph.
y=
-sin((3/2)*x)
Assignment Details
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