Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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For the following question(s), assume that x is in radians, if
applicable.
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1.
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Given the functions  and  , the graph of the combined function 
most likely resembles
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2.
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Given the functions  and  , what is the range of the composite
function  ? A. | cannot be determined | C. |  | B. |  | D. |  |
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3.
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Shown is the graph of  , where  and  is a function
of the form  .
What
equation represents  ?
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4.
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An equation for the graph shown is most likely 
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5.
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Given the functions  and  , determine the simplified equation for
the combined function  .
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6.
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Given the functions  and  , what is the domain of the combined
function  ? A. |  | C. | cannot be
determined | B. |  | D. |  |
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7.
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Given the functions  and  , determine the domain of the combined
function  . A. |  | C. | cannot be
determined | B. |  | D. |  |
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8.
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Given the functions  and  , what is the domain of the composite
function  ? A. | cannot be determined | C. |  | B. |  | D. |  |
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9.
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Given the functions  and  , what is the simplified form of  ?
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10.
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If  and  , what are the restrictions on the domain
for the combined function  ?
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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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3.
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Determine the equation(s) of the vertical asymptote(s) of the function  .
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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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Determine the equation for the composite function  given that  .
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