Chapter
NAME:
4: Functions
1. Complete the table based on the pattern you see.
55
Rectansles
1
2
I
z Ç$+î+8
eZb
p-- 'lcs) l¿ct)
=3b
2. Write a function rule for the table.
f(x)= 2X +3
('(s) +'(!)
j to+ l'
3
?=
4
n
=4b
3. Using f(x) = x
* 3, complete
! = xt3
Perimeter
2b
3b
4L
gG
lô¡ + tb
the table,
gpþ¿
(t)
v3
+s
þ) +3
+\
0t
¡\
¿\
4'Y=x-4
.'J
(z) r7
rì
Graph each function.
¡å
(z\ +3
(m.r:,,
6.y=lx-21
7.Y = -x2 +2
8. f(x) = (x
- l)'
f(x) means "function of x" or the dependent value, or what we have been calling "y value".
f(x), g(x), and h(x) are just different lables for three different functions. f(3) means input the
value 3 into the f(x) labeled function. h(4) means input the value 4 into the function labeled
h(x).
EXAMPLE: f(x) =2x+3. Find f(3). f(3) = 2(3) +3=6 +3=9
h(x) = -x- 3. Find h(-2). h(-2) = -(-21- t = 2-3 =
Evaluate each function, Given f(x) = 5 9.
(s¡
=
f(x) =5-x
+cr) = 5-(t)
aD.r=(r=ll
Db
x;
10. h(-1 ol
g(x) = 2x +1;
=
-1
and
h(x) =l"l -O
G
11, s(5) =
h(x)= lxl -l
h(-t,t)rl'rc| 'Ll
tl
9('t)'-ZY+t
gC;)'
21s)+l
12, The function g(t) = 2f represents the number of guitar lessons, g(t), you can complete in f months.
How many guitar lessons can you complete in 7 months
3 (r)
=Zt
g (z) -2
I
lesso"s
Decide if a function is Continuous or Discrete.
13.
!
Oa
Ol
{U
¿
Co"ti^uøå
rq
(9
Day
\
15.
\
¿rÑf^'"
State if the following is a function.
17 {!0, -3),
(3
-1),
!9,
2),
g_2),(,
-t
18.
S¡1
Lrn¿tr'or1
4 &ncf'anNrt
' (oa4)"''l
(otz)
I
20.
No+
21.
î
Nol
hno+¡^
Write the domain (all independent values) and range (all dependent values) for each function.
22.{(0,-3),(-2,1),(4,10), (0,2),
Domain=
Ranse=
Oì
-9t -3t-l I I ¡2¡f
Range= -'l ì -3 t-l t O r 2,'l
(1,-5)}
-Zl{ I
2g. Domain=
/
-3¡ I tlOtLl'?
/
24. A bottle holds 48 teaspoons of vanilla. The amount A of vanilla remaining in the bottle decreases
by 2 teaspoons per batch b of cookies.
a) Write a function rule to represent this situation.
A = 48 - 2'b
on. Label the graph and number your axes.
.
ú*
,tl
' r ) l1
5
a
,
b t
I ¡\ Itbrtchc: Jf
ft
z
lqt -(zYttz) v¡
cælcÌes
Cumulative Review
25.% (4x +
10)
26, When x = 3 and y
find: 4(3 + y) - x
- -2,
lGre)> - (z)
{ ( t) - 3
27. sorve,
28.Solve:
iV'å
lÔ*
--
-4<3x-1<11
- 1 è 3F.-,1
+l
50
+l
-3 ¿3x
æ
hît} '1ì' ¿ tl t
g*
h,tofø
29. A florist is making centerpieces. He uses 2 dozen roses for every 5 centerpieces. How many
dozens of roses will he need to make 20 centerpieces?
d**r-_ Z = j
2o
c€r\k¡ 5
5x= 46
ø( qb
lú"5
30. A man who is 6 feet tall is standing next to a flagpole. The shadow of the man is 3.5 feet and the
shadow of the flagpole is 17.5 feet. What is the height of the flagpole?
b
s-t^¿",
t.
I
h
-- ll. s
J.sh =
!7