Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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The x-intercept(s) for the sine function in the interval from 0° to
360° is (are)
a. | 0° | c. | 360° | b. | 180° | d. | all three values are
x-intercepts |
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2.
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The x-intercept(s) for the cosine function in the interval from 0°
to 360° is (are)
a. | 90° | c. | 90° and 270° | b. | 270° | d. | 0°, 90°, and 270° |
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3.
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Which of the following properties do the sine and cosine functions have in
common?
a. | x-intercepts | c. | amplitude | b. | y-intercepts | d. | intervals of
increase |
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4.
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Determine the amplitude and period of the function .
a. | amplitude –5, period 360° | c. | amplitude 5, period
90° | b. | amplitude 5, period 360° | d. | amplitude 5, period
1440° |
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5.
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What is the effect on a cosine function when k changes from 1 to 2?
a. | the amplitude doubles | b. | the period becomes half of the original
value | c. | the graph moves up one unit | d. | the graph moves down one
unit |
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6.
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A sinusoidal function has an amplitude of 4 and a period of 720°. What is a
possible equation for this function?
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7.
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Which equation can be used to model the graph of the function shown?
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8.
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Determine the amplitude, the period, the phase shift, and the vertical shift of
the function with respect to .
a. | amplitude 3 period 90° phase shift right 50° vertical shift up 2
units | c. | amplitude 2 period 90° phase shift right 50° vertical shift up 3
units | b. | amplitude 3 period 180° phase shift left 50° vertical shift up 2
units | d. | amplitude period 90° phase shift left 50° vertical shift up 2
units |
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