Study

Graphs of Trigonometric Functions

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  • Find an interval that corresponds to one cycle of the graph of y = 3 cot⁡ 2x
    - - -
  • What is the range of the function?
    [ -2 , 2]
  • Find the Interval of One Cycle:
    [ 0 , pi]
  • Free Points for the Team; Bouns for all teams (First Team submit the answer)
    - - -
  • Skip No Points
    - - -
  • What are the maximum and minimum values of the function: y = -4 cos x
    max = 4; min = -4
  • Determine whether the function is even, odd.
    Even
  • Find the period of the given function:
    4
  • Find the amplitude and the period of the function:
    1/2 ; 2pi
  • 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.
  • Find the amplitude and the period of the function:
    5; pi
  • Find the amplitude and the period of the graph:
    3; 2pi
  • Skip No Points
    - - -
  • 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
  • Find the five key points of the following function: y = 3sin x
    (0 , 0) , (pi/2 , 3) , (pi , 0) , (3pi/2 , -3) , (2pi, 0)
  • Determine whether the function is even, odd.
    Odd
  • Free Points
    - - -
  • Find the amplitude and the period of the function:
    4; 2pi /3
  • Lose Points
    - - -
  • 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.
  • Find the five key points of the following function
    (-pi/2 , undef) , (-pi/4 , 1) , (0 , 0) , (pi/4 , -1) , (-pi/2 , undef)
  • Determine whether the function is even, odd.
    Odd
  • Find the Interval of One Cycle:
    [ pi/4, 9pi / 4 ]
  • Find the Interval of One Cycle:
    [ -pi/2, pi/2 ]