Graphing Sine and Cosine Answers
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1
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What is the range of f(x) = sin(x)?
A
the set of all real numbers
B
the set of all real numbers
C
the set of all real numbers
D
the set of all real numbers2
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Which function describes the graph shown below?
A
y = one-half sine (x) minus 2
B
y = 2 sine (x) minus one-half
C
y = one-half cosine (x) minus 2
D
y = 2 cosine (x) minus one-half
3
What is the maximum of f(x) = sin(x)?
A
Negative 2 pi
B
–1C
1D
2 pi
4
Which set of transformations is needed to graph f(x) = –2sin(x) + 3 from the parent sine function?
A
vertical compression by a factor of 2, vertical translation 3 units up, reflection across the y-axisB
vertical compression by a factor of 2, vertical translation 3 units down, reflection across the x-axisC
reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units upD
reflection across the y-axis, vertical stretching by a factor of 2, vertical translation 3 units down5
What is the domain of f(x) = cos(x)?
A
the set of real numbers
B
the set of real numbers
C
the set of real numbers
D
the set of all real numbers6
Which formula gives the x-coordinates of the maximum values for y = cos(x)?
A
for any integer k
B
for
C
for any positive integer k
D
for
7
The graph of which function passes through (0,4) and has a minimum value at ?
A
f (x) = sine (x) + 4
B
f (x) = cosine (x) + 3
C
f (x) = negative 3 sine (x)
D
f (x) = 4 cosine (x)
8
What is the range of y = –5sin(x)?
A
all real numbers
B
all real numbers
C
all real numbers
D
all real numbers
9
What is the amplitude of the function below?
A
1B
2C
Pi
D
2 pi
10
Which function describes the graph below?
A
y = 8 cosine (x) + 3
B
y = 4 cosine (x) + 3
C
y = 4 sine (x) + 3
D
y = 8 sine (x) + 3
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