Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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This graph shows distance, d kilometres, as a function of time, t
minutes. Determine the vertical and horizontal intercepts. 
a. | Vertical intercept: 80
Horizontal intercept: 96
| c. | Vertical intercept:
96
Horizontal intercept: 80
| b. | Vertical intercept: 64
Horizontal
intercept: 96
| d. | Vertical
intercept: 80
Horizontal intercept: 64
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2.
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Which graph represents the linear function  ?
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3.
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Each graph below shows distance, d metres, as a function of time,
t hours. Which graph has a rate of change of 4 m/h and a vertical intercept of 3 m?
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4.
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This table shows the cost, C dollars, of different numbers of tickets
sold, n. Identify the range. Number of Tickets,
n | Cost, C
($) | 1 | 12.50 | 2 | 25.00 | 3 | 37.50 | 4 | 50.00 | 5 | 62.50 | | |
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5.
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For the function  , determine x when  .
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6.
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For the function  , determine  .
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7.
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For the function  , determine x when  .
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8.
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Write  in function notation.
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9.
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Which of these graphs represents a
function? i)
ii)   iii)
iv)  
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10.
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Determine the domain and range of this
graph.
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11.
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This is a graph of the function  . Determine the range value when the
domain value is 2.
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12.
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This is a graph of the function  . Determine the domain value when the
range value is –4.
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13.
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This graph shows the cost of hosting a dance, c, as a function of the
number of students attending, n. What is a restriction on the domain?   a. | The domain can only contain positive numbers. | b. | The domain can only
contain whole numbers between 1000 and 3500. | c. | The domain can only contain whole
numbers. | d. | The domain can only contain whole numbers that are multiples of
50. |
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14.
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A bathtub contains 40 L of water. The plug is pulled. This graph shows the
volume of water remaining in the tub, v, as a function of time, t. What is a
restriction on the
range?
 a. | The range can only contain negative numbers. | b. | The range cannot
contain negative numbers. | c. | The range can only contain whole numbers up to
40. | d. | The range can only contain whole numbers greater than
40. |
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15.
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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | zero | c. | not defined | b. | positive | d. | negative |
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16.
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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | positive | c. | zero | b. | negative | d. | not defined |
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17.
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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | positive | c. | not defined | b. | negative | d. | zero |
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18.
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A road rises 9 m for every 60 m measured horizontally. Determine the slope of
the road.
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19.
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Determine the slope of the line that passes through G(3, –3) and
H(–6, 15).
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20.
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A skateboard ramp rises 2 ft. for every 7 ft. measured horizontally. What is the
run?
a. |  | c. | 2 | b. | 7 | d. |  |
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Short Answer
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21.
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a) Write in function notation:  b)
Write as an equation in two variables: 
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22.
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This is a graph of the function  .
 a) Determine the range value
when the domain value is –2. b) Determine the domain value
when the range value is –1.
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23.
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Determine the rate of change and the vertical intercept of this graph.
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24.
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A treadmill is set with a rise of 9 in. and a run of 90 in. What is the slope of
the treadmill?
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25.
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A 10-ft. ladder leans against a wall. The base of the ladder is on level ground
6 ft. from the wall. What is the slope of the ladder?
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Problem
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26.
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Sketch a graph of a function that has domain  and range  . 
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27.
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Sketch a graph of the linear function  . 
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28.
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A guy wire helps to support a tower. One end of the wire is 25 m from the base
of the tower. The wire has a slope of  . How high up the tower does the wire reach?
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29.
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Determine the slope of each line segment. 
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30.
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Construction workers are paving a road. The road must drop 4 cm for every 650 cm
measured horizontally. a) What is the slope of the road? b) Suppose a section of the road drops 24.5
cm. How long is this section of the road measured horizontally?
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