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Study
Graphs of Trigonometric Functions
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Determine whether the function is even, odd.
Even
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Find the period of the given function:
4
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What are the maximum and minimum values of the function: y = -4 cos x
max = 4; min = -4
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Let f(x) = cos x; Describe the transformation of g(x).
shifted pi/2 units to the right , vertically stretched by a factor of 2; and reflected over the x-axis.
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Let f(x) = sin x; Describe the transformation of g(x).
Horizontal shrink by a factor of 1/2, then shifted pi/3 units to the left, and vertical shrink by a factor of 1/3 then shifted 4 units up. by
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What is the range of the function?
[ -2 , 2]
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Find the Interval of One Cycle:
[ pi/4, 9pi / 4 ]
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Find the Interval of One Cycle:
[ -pi/2, pi/2 ]
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Free Points
- - -
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Find the Interval of One Cycle:
[ 0 , pi]
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Skip No Points
- - -
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Find the five key points of the following function: y = 3sin x
(0 , 0) , (pi/2 , 3) , (pi , 0) , (3pi/2 , -3) , (2pi, 0)
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Determine whether the function is even, odd.
Odd
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Find the amplitude and the period of the function:
5; pi
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Free Points for the Team; Bouns for all teams (First Team submit the answer)
- - -
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Lose Points
- - -
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Find an interval that corresponds to one cycle of the graph of y = 3 cot 2x
- - -
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Find the five key points of the following function
(-pi/2 , undef) , (-pi/4 , 1) , (0 , 0) , (pi/4 , -1) , (-pi/2 , undef)
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Find the amplitude and the period of the graph:
3; 2pi
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Find the amplitude and the period of the function:
1/2 ; 2pi
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Skip No Points
- - -
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Determine whether the function is even, odd.
Odd
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Let f(x) = sin x; Describe the transformation of g(x).
Horizontal shrink by a factor of 1/3 ; and vertical stretch by a factor of 4.
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Find the amplitude and the period of the function:
4; 2pi /3
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