Graphing Sine and Cosine Answers
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1
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What is the maximum of f(x) = sin(x)?
A
Negative 2 pi
B
–1C
1D
2 pi
2
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What is the range of y = –5sin(x)?
A
all real numbers
B
all real numbers
C
all real numbers
D
all real numbers
3
Which function has the given properties below?The domain is the set of all real numbers.One x-intercept is .The amplitude is 4.The point is on the graph.The y-intercept is (0, 0).
A
y = –4sin(x)B
y = –4cos(x)C
y = 4sin(x)D
y = 4cos(x)4
Which function is graphed below?
A
f(x) = –cos(x)B
f(x) = cos(x)C
f(x) = sin(x)D
f(x) = –sin(x)5
What is the amplitude of the function below?
A
1B
2C
Pi
D
2 pi
6
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 numbers7
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 down8
Which function is graphed below?
A
f(x) = cos(x)B
f(x) = –cos(x)C
f(x) = sin(x)D
f(x) = –sin(x)9
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)
10
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
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