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 the masses of people, m, as a function of age, a.
Determine the range of the graph. 
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2.
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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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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 0.75 m/h and a horizontal intercept of 3
m?
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4.
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Identify the domain of this relation. 
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5.
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Identify the range of this relation. 
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6.
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This table shows the masses, m grams, of different numbers of identical
beads, n. Identify the domain. Number of Beads,
n | Mass of Beads, m
(g) | 1 | 1.56 | 2 | 3.12 | 3 | 4.68 | 4 | 6.24 | 5 | 7.80 | | |
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7.
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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
($) | 1 | 12.50 | 2 | 25.00 | 3 | 37.50 | 4 | 50.00 | 5 | 62.50 | | |
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8.
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For the function  , determine x when  .
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9.
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Write  in function notation.
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10.
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The function  converts a temperature, f degrees Fahrenheit, to
C degrees Celsius. Determine  to the nearest degree.
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11.
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Identify the independent variable and the dependent variable for this table of
values. Hours Worked,
h | Gross Pay, P ($) | 4 | 38.00 | 5 | 47.50 | 9 | 85.50 | 20 | 190.00 | 30 | 285.00 | | |
a. | independent variable: P
dependent variable: h | c. | independent
variable: gross pay
dependent variable: hours worked | b. | independent
variable: domain
dependent variable: range | d. | independent variable: hours worked
dependent
variable: gross pay |
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12.
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Determine the domain and range of the graph of this
function.
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13.
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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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14.
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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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15.
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This is a graph of the function  . Determine the domain value when the
range value is
–2.
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16.
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Which graph represents the linear function  ?
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17.
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This graph shows the fuel consumption of a jeep with a full tank of gas at the
beginning of a journey. When the jeep has travelled 150 km, about how much fuel is left in the
tank?  a. | about 49 L | c. | about 51 L | b. | about 12 L | d. | about 11 L |
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18.
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A retirement home ordered canvas shopping bags for 90 residents. This graph
shows the cost of the shopping bags, C dollars, as a function of the number ordered, n.
Suppose one more shopping bag was ordered. What would be the increase in
cost?  a. | $0.25 | c. | $5.00 | b. | $4.56 | d. | $4.00 |
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19.
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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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20.
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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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Short Answer
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21.
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Identify the domain and range of this relation. 
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22.
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Determine the domain and range of the graph of this
function.
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23.
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Determine the vertical and horizontal intercepts of this graph. 
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24.
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Determine the slope of this line segment. 
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25.
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A school plans to build a wheelchair ramp from the sidewalk to the front
entrance of the school. The slope of the ramp must be  . The entrance to the school is 75 cm
above the ground. What is the horizontal distance needed for the ramp?
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Problem
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26.
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Four litres of latex paint covers approximately 37 m 2 and costs
$52. a) Copy and complete this table. | Volume of Paint, p
(L) | 0 | 4 | 8 | 12 | 16 | | Cost, c ($) | 0 | 52 | | | | | Area Covered, A (m2) | 0 | 37 | | | | | | | | | |
b) Graph the area covered as a
function of the volume of paint.  c) Graph the area covered
as a function of the cost.  d) Write the domain and
range of the functions in parts b and c.
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27.
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Sketch a graph of a function that has domain  and range  . 
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28.
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a) This is a graph of the function  .
Determine the range value when the domain value is 2.
 b) This is the graph
of the function  . Determine the range
value when the domain value is
3.
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29.
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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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30.
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a) Determine the rise, run, and slope of this line segment.  b) Draw a line segment whose slope is: i)
zero ii) not defined iii) the
same as the slope of the line segment in part a 
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