A function is defined as 

1. Determine the amplitude and period of the function.   (2 marks)

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2. Sketch the function over the domain  . On your sketch, label any -axis intersections.   (3 marks)   

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Which interval gives the range of the function  ?

By drawing graphs on the number plane, show how many solutions exist for the equation    in the domain    (3 marks)

For the function  

1. Write down the amplitude and period of the function  (2 marks)
   

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2. Sketch the graph of the function    on the set of axes below. Label axes intercepts with their coordinates.
   

    

   Label endpoints of the graph with their coordinates.  (3 marks)
   

State the range and period of the function

  (2 marks)

Let     for  .

1. Solve the equation    for  .  (2 marks)
   

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2. Sketch the graph of the function    on the axes below. Label the endpoints and local minimum point with their coordinates.  (3 marks)
   

Let   

The period and range of this function are respectively