Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which graph represents the function  ?
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2.
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The rational function  is represented by which graph?
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3.
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Which of the following functions has a slant asymptote when graphed?
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4.
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Which function has vertical asymptotes with equations  and 
 ?
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5.
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Which graph represents  ?
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For the following question(s), assume that x is in radians, if
applicable.
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6.
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Given the functions  and  , the graph of the combined function 
most likely resembles
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7.
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Given the functions  and  , a graph of the combined function 
most likely resembles
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8.
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Given the functions  and  , a graph of the combined function 
most likely resembles
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9.
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Given the functions  and    , which of the following is
most likely the graph of  ?
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10.
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Given the functions  and  , which of the following is most likely
the graph of  ?
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11.
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Solve the equation  . A. | x =  | C. | x =
–6 | B. | x = –8 | D. | x =  |
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12.
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Given the functions  and  , determine the equation for the combined
function  .
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13.
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Given the functions  and  , determine the equation for the combined
function  .
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14.
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If  and  , what is the simplified combined function
 ?
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15.
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Given the function  , determine the value of  .
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16.
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Evaluate  . A. | 32 432 400 | C. | 6435 | B. | 163 459 296 000 | D. | 259 459 200 |
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17.
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After the tryouts for the volleyball team, the coach selects 14 people to join
the team. Due to a problem with transportation, only 9 people can travel. In how many ways can the
coach pick the people to go?
A. | 726 485 760 | C. | 630 | B. | 2002 | D. | 126 |
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18.
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Prom’s friend gives him a row of Pascal’s triangle and asks which
row it comes from. Prom adds the numbers and obtains a sum of 65 536. Which row do the numbers come
from?
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19.
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How many terms are there in the expansion of  ?
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20.
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The leadership committee at a high school has 4 grade 10 students, 2 grade 11
students, and 6 grade 12 students. This year, 12 grade 10, 8 grade 11, and 10 grade 12 students
applied for the committee. How many ways are there to select the committee?
A. | 2 910 600 | C. | 733 | B. | 100 590 336 000 | D. | 163 136 |
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Short Answer
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1.
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Consider the function  . a) Determine the key features
of the function: i) domain and
range ii) intercepts
iii) equations of any asymptotes b) Sketch the graph of the function. 
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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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Joe wants to travel from his home to school. The school is 6 blocks east and 6
blocks north. How many routes can Joe take from his house to school if he only moves east and
north. 
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Problem
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1.
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Ingrid is docking a motorboat. She turns off the power and lets the boat coast
toward the dock. The distance, d, in metres, between the boat and the dock as a function of
time, t, in seconds, is given by  . a) What is the average velocity of the boat
during the time interval from when Ingrid turns the boat off to when it meets the dock? b)
Determine the velocity of the boat when Ingrid turns off the power, to one decimal place. c)
Determine the velocity of the boat when it meets the dock, to one decimal place. d)
Sketch the graph of the function. On the same set of axes, sketch the graph of the speed of
the boat in relation to the time.
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2.
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The revenue function for a school group selling n bookmarks is
given by  , and the total cost function is given by  . Determine the number of bookmarks that
need to be sold for the school group to break even.
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