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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Which function has vertical asymptotes with equations  and 
 ?
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3.
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Which graph represents  ?
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4.
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Which function has an x-intercept of  ?
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5.
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Which graph of a 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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What is the value of k in the function  if its graph passes
through the point (3,  ) ? A. |  | C. | –10 | B. | 4 | D. | No such
k exists |
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7.
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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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8.
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Which function has a graph in the shape of a parabola?
A. |  | C. |  | B. |  | D. | none of the
above |
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9.
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Solve the equation  . A. | x =  | C. | x =
–6 | B. | x = –8 | D. | x =  |
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10.
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Solve the equation  . A. |  | C. | no solution | B. | x = 2,
x = 9 | D. | 
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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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Problem
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1.
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The pressure exerted on the floor by the heel of someone’s shoe is
inversely proportional to the square of the width of the heel of the shoe. When Megumi wears
2-cm-wide heels, she exerts a pressure of 400 kPa.
a) Determine a function to represent
the pressure, p, exerted by Megumi if she wears heels of width w.
b) Sketch
the graph of this function.
c) If she wears spike heels with a width of 0.5 cm, what
pressure does she exert?
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2.
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What is the solution to the rational equation  ?
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