Selected Response – Practice Questions – Relations and Functions – Version 2
1. This graph shows a person’s distance from a starting point, d kilometres, as a function of time, t minutes. Determine the distance from the starting point when the time is 5 min.
a. / about 14.3 km / c. / about 10.1 km
b. / about 1.8 km / d. / about 0.6 km
2. 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?
a. / / c. /b. / / d. /
.
3. The altitude of a plane, a metres, is related to the time, t minutes, that has elapsed since it started its ascent. Determine the rate of change of this linear relation.
t (min) / 0 / 2 / 4 / 6 / 8a (m) / 4000 / 5400 / 6800 / 8200 / 9600
a. / 1400 m/min / b. / 1500 m/min / c. / 700 m/min / d. / 1200 m/min
4. For the function , determine x when .
a. / 12 / b. / –39 / c. / –3 / d. / –125. This graph shows distance, d kilometres, as a function of time, t minutes. Determine the vertical and horizontal intercepts.
a. / Vertical intercept: 96
Horizontal intercept: 80 / c. / Vertical intercept: 64
Horizontal intercept: 96
b. / Vertical intercept: 80
Horizontal intercept: 96 / d. / Vertical intercept: 80
Horizontal intercept: 64
6. Which set of ordered pairs represents a linear relation?
i)
ii)
iii)
iv)
7. 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 can only contain whole numbers up to 40.
c. / The range cannot contain negative numbers.
8. 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: domain
dependent variable: range
b. / independent variable: hours worked
dependent variable: gross pay / d. / independent variable: gross pay
dependent variable: hours worked
9. Determine the domain and range of this graph.
a. / / c. /b. / / d. /
10. This graph shows the free-fall speed of a skydiver as a function of time. Which statement best describes what is happening for line segment BC in the graph?
a. / The skydiver landed on the ground.b. / The skydiver jumped out of the plane.
c. / The skydiver opened her parachute.
d. / The skydiver was free-falling.
11. Write as an equation in two variables.
a. / / c. /b. / / d. /
12. Identify the range of this relation.
a. / / c. /b. / / d. /
13. Which set of ordered pairs does not represent a function?
i)
ii)
iii)
iv)
14. This set of ordered pairs shows the years of some Winter Olympics and the host city in each year. Represent the relation as a table.
{(1988, Calgary), (1992, Albertville), (1994, Lillehammer), (1998, Nagano),
(2002, Salt Lake City), (2006, Turin), (2010, Vancouver)}
a. / / c. /b. / / d. /
15. Consider the relation represented by this arrow diagram. Represent the relation as a set of ordered pairs.
a. / {(House P, 3), (House Q, 4), (House R, 1), (House S, 5)}b. / {(1, House P), (3, House Q), (4, House R), (5, House S)}
c. / {(3, House P), (4, House Q), (1, House R), (5, House S)}
d. / {(House P, 1), (House Q, 3), (House R, 4), (House S, 5)}
16. In this diagram, describe the relation in words.
a. / The relation shows the association “is within 100 km of” from a set of towns in B.C. to a set of ski resorts.b. / The relation shows the association “is 100 km away” from a set of ski resorts to a set of towns in B.C.
c. / The relation shows the association “is about 100 km” from a set of ski resorts to a set of towns in B.C.
d. / The relation shows the association “is within 100 km of” from a set of ski resorts to a set of towns in B.C.