FMa 10 Chapter 5 Practice Test
Name:___________________
1. For the function f (x) = 3 – 6x, what is the value of f (–3)?
A. 1
B. 21
C. –15
D. 0
2. Which equation does not represent a linear function?
A. f(x) = 5
B. f(x) = 5x
C. f(x) = 5x2
D. f(x) = –5
3. How many of these equations represent a linear function?
y = –3x + 2
g(x) = 2
2
y=x +1
x = –1
A. 4
B. 3
C. 2
D. 1
4. For the function f(x) = 3x + 2, what is the value of x when f(x) = 17?
A. 7
B. 8
C. 6
D. 5
5. Identify which of the following relations is linear.
A. {(1, 1), (2, 8), (3, 27), (4, 64)}
B. C = 2 r
C. One variable is the square of another variable.
D. y = 3x2 + 1
6. Describe the set of numbers indicated by the number line.
–3
5
x
A. (–3, 5]
B. all real numbers between –3 and 5
C. (–3, –2, –1, 0, 1, 2, 3, 4)
D. {x | –3 x < 5, x
7. Choose the set of ordered pairs that is a function.
A. {(0, 3), (1, 0), (2, –1), (1, 2)}
B. {(1, 3), (2, 6), (3, 9), (4, 12)}
C. {(4, 4), (3, 3), (2, 2), (3, 5)}
D. {(2, –4), (–2, 4), (4, –5), (4, 5)}
R}
8. Identify the range of the following graph.
A. {y | 1 ≤ y ≤ 5, y R}
B. {y | 1 ≤ y 7, y R}
C. {y | 3 ≤ y 7, y R}
D. {y | 1 y 3, y R}
9. Which graph does not represent a function?
A.
C.
B.
D.
10. For each relation represented below:
i) State whether it is a function and how you know.
ii) If the relation is a function:
State its domain and range. Represent the function in a different way.
State whether it is a linear function and how you know.
iii) If the relation is a linear function:
Identify the dependent and independent variables. Determine the rate of
change.
a) {(2, 5), (–3, 6), (1, 5), (–1, 4), (0, 2)}
i) Yes, it is a function, because all domains are different.
ii) domain:{ 2, –3, 1, –1, 0, } ; range :{ 5, 6, 4, 2}
It is not a linear function because it is not 1 to 1.
b)
i) Yes, it is a function, because all domains are different.
ii) domain:{ 2, –1, 1, –3} ; range :{ 4, 1, 9}
It is not a linear function because it is not 1 to 1
c)
i) Yes, it is a function, because all domains are
different.
ii) -2≤x≤8, domain  R; -1≤y≤4, range  R.
iii) It is a linear function because it has a constant
rate of change: –
1
. Independent variable is x
2
and dependent variable is y.
11. This table of values shows how the time to cook a turkey is related to its mass.
a) Why is this relation a function?
b) Identify the dependent and the independent variables. Justify your choice.
c) Graph the data. Did you connect the points? Explain.
d) Determine the domain and range of the graph. Could you extend the graph?
Identify and explain any restrictions on the domain and range. Explain.
e) Determine the rate of change for this function. What does it represent?
f) For how long should you cook a turkey with mass 7 kg?
a) This relation is a function because no number is
repeated in the first column.
b) The time, t, needed to cook the turkey depends on
mass, m. So, time is the dependent variable and
mass is the independent variable.
c) Graph the data.
Connect the points because it is possible
for a turkey to have any mass between 4 kg and
kg, in which case, its cooking time is likely to
be between 2.5 h and 4.0 h.
its
10
d) The domain is all possible values of the mass:
4  m  10
The range is all possible values of the cooking
time: 2.5  t  4.0
The graph could be extended for turkeys with
greater or lesser mass.
The domain and range are restricted to positive real numbers because it is
impossible for a turkey to have a negative mass or to cook a turkey for a
negative length of time.
e) Choose 2 points on the graph: (4, 2.5) and (6, 3.0)
The rate of change is:
For every additional 1 kg, the time needed to cook the turkey increases by
0.25 h.
f) A turkey with mass 7 kg should be cooked for: 3.0 h + 0.25 h = 3.25 h