Multiple Choice
Identify the choice that best
completes the statement or answers the question.
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1.
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Determine the equation of this polynomial function:  A. | f(x) = –x2 – 3x –
1 | B. | g(x) = x2 – 2x + 1 | C. | h(x) =
–x3 – 2x2 + 1 | D. | j(x) =
x3 + 2x |
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2.
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The path of a shot put thrown at a track and field meet is modelled by the
quadratic function
h(d) = –0.048(d2 – 20.7d
– 26.28)
where h is the height in metres and d is the horizontal distance in
metres.
Determine the height of the discus when it has travelled 10 m horizontally.
A. | 6.2 m | B. | 6.4 m | C. | 6.6
m | D. | 6.8 m |
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3.
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Identify the range of the exponential function y =
10x.
A. | {y | y < 0, y Î
R} | B. | {y | y > 0, y Î
R} | C. | {y | y ¹ 0, y Î R} | D. | {y | y Î R} |
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4.
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Which option best describes the behaviour of the exponential function
g( x) =  ? A. | increasing because a > 1 | B. | decreasing because 0 < a <
1 | C. | increasing because b > 1 | D. | decreasing because 0 < b <
1 |
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5.
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The following data set involves exponential growth. Determine the missing value
from the table. x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | y | 3 | 6 | 12 | 24 | 48 | | 192 | 384 | | | | | | | | | |
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6.
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A scatter plot is drawn using a data set. 
Interpolate the
value of y when x = 5.
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7.
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The equation of the exponential function that models a data set is
y =
6.8(1.03)x
Determine the range of this function.
A. | {y | y > 0, y Î
R} | B. | {y | y Î R} | C. | {y | y
> 6.8, y Î R} | D. | {y | y
> 1.03, y Î R} |
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8.
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Which function will have the fastest increase in the y-values?
A. | y =  ln x | B. | y = 9 ln x | C. | y =  ln
x | D. | y = 20 ln x |
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9.
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Which function will have the fastest decrease in the y-values?
A. | y = – ln x | B. | y = –2 ln
x | C. | y = –ln x | D. | y = –1.5 ln
x |
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10.
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Which exponential equation correctly represents the logarithmic equation
y = ln 20?
A. | 20y = e | B. | ey = 20 | C. | y20 = e | D. | ye =
20 |
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11.
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The equation of the logarithmic function that models a data set is y =
43.9 – 8.7 ln x.
Interpolate the value of y when x = 5.5.
A. | y = 23 | B. | y = 25 | C. | y =
27 | D. | y = 29 |
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12.
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The following data set involves logarithmic growth. Determine the missing
value. x | 1 | 5 | 10 | 20 | 50 | 100 | y | 0.0 | 0.7 | 1.0 | 1.3 | 1.7 | | | | | | | | |
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13.
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Choose the best estimate for 3.1 radians in degrees.
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14.
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Choose the best estimate for the central angle in degrees. 
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15.
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Determine the range of the following graph.  A. | {y | 1 £ y £ 5, y Î R} | B. | {y | –2
£ y £ 2, y Î R} | C. | {y | 0 £
y £ 4, y Î
R} | D. | {y | y Î
R} |
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Short Answer
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1.
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Determine the degree of this polynomial function: f( x) =  x2 – 5 x + 1
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2.
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Describe the characteristics of the trend in the data. x | 10 | 20 | 30 | 40 | 50 | 80 | 100 | y | –3 | –1 | 0 | –1 | 8 | 17 | 25 | | | | | | | | |
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3.
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Sketch the exponential function h( x) =  .
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Problem
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1.
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A hockey coach want to know the relationship between the number of shots his
team takes during a game and the number of goals they score. She collected the following data from
the last few games. Shots | 11 | 20 | 24 | 28 | 27 | 33 | 17 | 38 | Goals | 1 | 2 | 0 | 3 | 2 | 3 | 1 | 4 | | | | | | | | | |
a) Create a scatter plot, and draw a
line of best fit for the data. b) Use your graph to estimate the number of shots required
to score 3 goals.
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2.
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Before trying to hit a piñata, Emma is blindfolded and spun 2095°.
Estimate the angle she must turn to face the piñata to the nearest tenth of a radian. Show your
work.
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3.
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The graph of a sinusoidal function is shown. a) Determine the period
of this graph. Show your work. b) Determine the y-value of this graph when x
= 3. Explain your answer. c) Determine the y-value of this graph when x =
1.75. Explain your answer. 
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