Graphing Sine and Cosine Answers
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1
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Which of the following is true for f(x) = 5cos(x) +1?
A
The period of the function is .
B
The function has an amplitude of 2.5.C
A zero of the function is .
D
The range of the function is the set of real numbers .
2
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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)
3
What is the amplitude of the function below?
A
1B
2C
Pi
D
2 pi
4
What is the period of f(x) = sin(x)?
A
StartFraction pi Over 2 EndFraction
B
Pi
C
StartFraction 3 pi Over 2 EndFraction
D
2 pi
5
Which function has the given properties below?The domain is the set of all real numbers.One x-intercept is .The maximum value is 3.The y-intercept is (0, –3).
A
y = –3sin(x)B
y = –3cos(x)C
y = 3sin(x)D
y = 3cos(x)6
What is the range of y = –5sin(x)?
A
all real numbers
B
all real numbers
C
all real numbers
D
all real numbers
7
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
What is the maximum of f(x) = sin(x)?
A
Negative 2 pi
B
–1C
1D
2 pi
9
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 numbers10
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)Did you find these answers helpful?
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