Key
Name: ___________________________________________________
Period: ______
Chapter 3 – Part 1 – Review Packet
& 3.3 FUNCTIONS & LINEAR FUNCTIONS
3.1–3.2
Determine whether the relation is a function. If the relation is a function, determine whether the
function is linear or nonlinear. Circle the words that match your decision.
1.
bc itfailsthe
2.
•
•
•
•
•
• Function
obtefeoat's
• Not a Function
• Linear
• Nonlinear
Is
a.amiaat
3. (0, 1) (2, 6) (4, 11) (6, 16) (8, 21)
491M
Y
91
5.
•
•
•
•
•
•
•
•
•
•
5
4.
try
•
•
•
•
•
oaf's
Function
Not a Function
Linear
of
Nonlinear changeisa
Crate
6.
E
Function
Not a Function
Linear
Nonlinear
•
•
•
•
•
trails
linetest
26
25
2.6
2 2.6
21
•
•
•
•
•
C
O
isainiiiit.IE
Function
Not a Function
Linear
bc theins
Nonlinear
O
isnot
rateof not
line
32isdifPfairufpduas.tr
is
1 2 33
aight
change
447 4 4
11
7.
Function blonox's
repeat
Not a Function
Linear
Nonlinear
fitting
craittitIIInge
is
vertical
Tiatsisaight
IEantengotisnot
It'sIf
test
Function line
Not a Function
Linear
Nonlinear
blcnox's
Function
8. (–8, 7) (–9, 7) (–10, 7)
repeat
Not a Function
s
Linear
of
chancgenifaant
Nonlinear
additive
C
Crate
rateofchange
is
o Fo
Xy
j9 y
8
aaffdnits.tv
oaf's
• Function
• Not a Function
• Linear
• Nonlinear
frateofchangeisaconstan
•
additivecrate
I
Circle whether the graph is discrete or continuous. Then state the domain and range of thechaff
relation.
9.
10.
• Discrete
• Continuous
Off.int
are
connected
• Discrete
• Continuous
Oftinthseare
connected
R
31 14
Domain: _____________
Seyss
Range: ______________
I
Domain: _____________
Range: ______________
y
q.to
11.
cthegraphis
• Discrete individualdots
• Continuous
12.
• Discrete
• Continuous
C
connected
XES
3 I 1,3
Domain: _____________
6
2,0 2,4
Range: ______________
Domain: _____________
2EyE4
Range: ______________
13.
bcthe
pointsare
• Discrete nativiasiandists
• Continuous
5
14.
• Discrete
• Continuous
iasiandists
Domain: _____________
1,46
Domain: _____________
Range: ______________
3
Range: ______________
4,0,3
0,45
4 – FUNCTION NOTATION
3.3
Use the functions listed below to answer the questions. Express answers in function notation.
2
5
f(x) = 7x – 12
15. What is h(–5)?
hlx
g(x) = − x + 1
16. What is x
when k(x) = 5?
T
X 4
141 3 2
ht51 151 4
53 2
54
17. What is g(–10)?
41
glx 3
gllo IHO
5
g(____)
5
10 = ____
k(____) = ____
7
x–2
3
18. What is x
when f(x) = –1?
f1 1 7 12
t
5
71.317.31
3
I
k(x) =
text
7
3
h(____)
5 = ____
h(x) = –x – 4
1 7 12
121
41
T 7
h X
h
w
w
7 12 X 4
tx
tx
4
I
811 8
I
f(____) = h(____)
1 121 12
I
I
f(____) = ____
19. What is x when f(x) = h(x)?
8 12
12
Use the graph of k(x) to answer the questions. Express answers in function notation.
3
k(____)
5 = ____
20. What is k(5)?
k(x)
a
21. What is x when k(x) = –4?
4
k(____) = ____
6
6
22. What is k(–6)?
x
i
3
k(____) = ____
y
v
a
v
x
23. What is x when k(x) = 5?
6
5
k(____) = ____
y
The function f(x) represents the percent of people who got A’s in Mrs. Wood’s math class x
O
years after 2000. Interpret the meaning of the following:
co
24. f(12) = 70
jars
test
26. f(8) ≥a 80
Years
In 2012,70 ofthepeople in
MrsWood'sclassgotA's
ness
25. f(5) < f(13)
Asmallerpercentageof
yexarsyef.rs
2005than in 2013
gotA'sin
In2008 atleast80 ofthe
y
peoplein MrsWood'sclassgotA's
equal
student
ofA'swerereceived
tears tears in 2000and2011
27. f(0) = f(11)Thesame
NOW GO CHECK AND CORRECT YOUR ANSWERS
USING THE WORKED–OUT SOLUTION KEY ONLINE