Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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What is the x-intercept of  ? A. |  | C. |  | B. | There is no
x-intercept. | D. | 0 |
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2.
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What is the value of k in the function  if its graph passes
through the point (3,  ) ? A. | 2 | C. |  | B. | 4 | D. | No such k
exists |
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3.
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What is the equation for the vertical asymptote of the graph of the function
shown? 
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4.
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What is the equation for the horizontal asymptote of the graph of the function
shown? 
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5.
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Which rational function has the following characteristics? • a vertical
asymptote with equation  • a horizontal asymptote with equation  • a point of discontinuity at 
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6.
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Solve the equation  . A. | x =  | C. | x = 5 | B. | x =
7 | D. | x =  |
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7.
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Solve the equation  . A. | x = 8 | C. | x = –4 | B. | x =  | D. | x =  |
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8.
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Solve the equation  . A. | x = 3 | C. | x =  | B. | x =  | D. | x = 6,
x = 9 |
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9.
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What are the x-intercepts of the graph of  ? A. | 1, 7 | C. | 8, –1 | B. | –8, 1 | D. | –1,
–7 |
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10.
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Solve the equation  graphically.
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Short Answer
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1.
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Determine the approximate slope of the tangent to the curve  at  , to
one decimal place.
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2.
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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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3.
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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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Problem
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1.
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The time, t, in hours, that it takes Alistair to jog 5 km is inversely
proportional to his average speed, v, in kilometres per hour.
a) Write a function
to represent the time as a function of the speed.
b) Sketch the graph of this function.
c) If Alistair jogs at 4.5 km/h, how long does it take him to complete a 5-km run, to the
nearest minute?
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2.
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A ski club charters a bus for a ski trip at a cost of $480. In an attempt to
lower the bus fare per skier, the club invites non-members to go along. After five non-members join
the trip, the fare per skier decreases by $4.80. How many club members are going on the trip?
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