Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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An equation for the graph shown is most likely 
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2.
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Given the functions  and   , which of the following is
most likely the graph of  ?
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3.
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Given the functions  and  , determine the equation for the combined
function  .
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For the following question(s), assume that x is in radians, if
applicable.
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4.
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Shown is the graph of  , where  and  is a function
of the form  .

What
equation represents  ?
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5.
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Given the functions  and  , what is the value of  ?
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6.
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Given the functions  and  , determine the domain of the combined
function  .
A. |  | C. |  | B. | cannot be
determined | D. |  |
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7.
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Given the functions  and  , what is the domain of the composite
function  ?
A. |  | C. |  | B. |  | D. | cannot be
determined |
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8.
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Given the functions  and  , what is the simplified form of  ?
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9.
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If  and  , what is the simplified combined function
 ?
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10.
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Given the function  , determine the value of  .
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Short Answer
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1.
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Given the functions  and  , determine a simplified equation for  .
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2.
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Given the functions  and  , determine a simplified equation for  .
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For the following question(s), assume that x is in radians, if
applicable.
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3.
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a) Graph the functions  and  on the grid. b)
Graph the function  on the same grid. 
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Problem
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1.
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Given the functions  and  , determine a simplified
equation for  .
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2.
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Given the functions  and  , determine all possible values of
x for which  .
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