Algebra I
Function Notation Worksheet
Name:
Hour:
d. k(3) = 9
Date
3. Given this graph of the function f(x):
1. Evaluate the following expressions given the functions below:
g(x) = -3x + l
f(x) = x' + 7
h ( x
*"x
x)
/
j(x) = 2x + 9
/
»• g(10) =
b.
f(3) =
c.
h(-2) =
\>
1
Find:
«. f(-4) =
b. f(0) =
e. x when f(x) = 2
f. xwhenf(x) = 0
d. j(7) =
e. h(a)
f. Findxifg(x) = 16
g. Fmdxifh(x) = -2
h. Findxiff(x)=23
i.
CHALLENGE! (in other words, optional)
g(b+c)
J.
CHALLENGE! (also optional)
f(h(x))
2. Translate the following statements into coordinate points:
a.
b.
h(2) = 7
c
g(l) = - l
\
\\
\
c.
f(3)
*>
Algebra I
Function Notation Worksheet
Name:
Hour:
d. k(3) = 9
Date
3. Given this graph of the function f(x):
1. Evaluate the following expressions given the functions below:
g(x) = -3x + l
f(x) = x' + 7
h(x) = —
x
X)
\\
i(x) = 2x + 9
/
r
i
». g(10) =
b.
-5-
V
\\
V
f(3) =
•5-J
c.
h(-2) =
d. j(7) =
e. h(a)
f. Findxifg(x) = 16
g. Fmdxifh(x) = -2
h. Findxiff(x) = 23
i.
CHALLENGE! (in other words, optional)
J. CHALLENGE! (also optional)
g(b+c)
f(h(x))
2. Translate the following statements into coordinate points:
a. H - l ) - l
b.
h(2) = 7
c g(l) = - l
Find:
a. f(-4) =
b.
f(0) =
e. x when f(x) = 2
t
xwhenf(x) = 0
c. f(3)
.
If*
i
7-1
SECTION
MTS
SECTION
™"~
Completing T-Tables
Completing T-Tables
A T-tabU is a table used to determine values for x and y that will make an equation
true. To complete a T-table, rewrite the equation so that y equals an expression.
Then substitute vaiues for x and solvefory. (It is also possible to rewrite the equation so that x equals an expression. Then substitute valuesfory and solve for x.)
Directions: Complete Che T-tables. Find the missing values in the Answer Bank on the
next page and write the letter of each value in the corresponding blank in the table.
When you havefinished,go down each table line by line and write the letters in
order to complete the statement at the end of the activity. The first table is completedforyou. Some answers will be used more than once.
l.y = 3x~l
2. y = x
3-y =
X T
X Y
X Y
-3
3
-2 -7
1
2
4
4
-2
0 T
1 1
1
-1
5 0
1
-1 -1
2
-3
y = |x
6. 3y = 4 x + l
X
Y
X
Y
X
Y
10
3
0
-3
- 1 "*
0 1
-8
6
3
-l
1 - f
-10
-4 -S
2
2x-y+ 1
X Y
1 1
-3
4 7
9
210
(continued)
x+y • 10
Y
0 10
-1
11
14
5
9. xy =>4
X
lO.ysx
X Y
-1 -1
-2
8
0 0
11. y * I
X Y
2
3 1
11
"ft
2
3
12. y »-x + 5
X Y
0 5
2
3
e
2
13. 3x + y=0
X
Y
3
$
5
?2 -6
-2
Y. -4
B. -4
E. 3
14. -2x + y = 10
X Y
-6
4
I. 2
s I
" 2
M. 9
S
-2
11
18
Answer Bank
E. -5
O. 4
W. |
C. -3
* !
A. 17
F. 8
p. 1
T. - 1
L. 5
It is easier _T__S.
4
IS.
AJgtbraTurfwrtAmvioec Kit
CopyrtihlOSOin John Vrt%»Sc««. toe
a function of x.
factions and Rohsau
211
What Did the Baby Porcupine Say
When It Backed Into a Cactus?
What D i d They CalJ the Duck Who
Became a Test Pilot?
Determine which of the relations below are functions. Find the number of each
relation that is a function at the bottom of the page and cross out the letter
below it When you finish, the answertothe title question will remain.
Follow the directions given for each section. Cross out each box in the rectangle
below that contains a correct answer. When you finish, print the tetters from the
remaining boxes In the spaces at the bottom of the page.
(7) { ( - 2 , 7). ( - 1 , 5), (0, 3), (1,1), (2,1)}
•
I For each function, fine the indicated values.
1
®
{ ( - 7 , 20), (3, 5), (0, 5), ( - 2 , 0), (6, - 4 ) , ( - 6 , - 9 ) , (4, 4)}
©
A. f(6)
B. f(1)
©
«4.8), ( - 3 , -2), (9,6). (2, - 1 ) , ( - 4 . - 5 ) . (2,7), (-8,0)}
8,0)}
(|)f(x)=x -4
A. /(12)
' B. f ( - 2 )
©
A. g(3)
B. g(0)
A. /»(4)
B. /i(-1)
©
X.
y
X
¥
0
1
2
3
4
5
-19
-12
-4
3
13
27
-5
-3
-1
1.
3
5
8
8
-2
-2
11
23
0
©
4-
•-
• a-4
-2
..
-2-
©
2
X
y
-2
-2
0
2
2
-7
I
I
2
6
II Find the range of each function for the given domain.
4
©
f(x) = 3 x + 2
D=»{-2,0,2}
©
0(x) = 9 - 5 x
0«{-3,-1,1}
@
fW"2K*-1
0
<
g(x)=x -7x+i
0,fcW*^**l
5
-16
0
6
•
2
f(x) = 2 x - 5
D={5,1, - 4 }
D = {1.0, - 1 }
ii(x)ax -8x+3
2
4
D = {4,0, - 4 }
~A-
(l3) G(n) = - n + 2n + 3
a
%
09
4-
,
SK
42- •
•-A
(
4
'
-2-
-4-
5
12
T
O
-4-
10
H
7
. 1
A
3 .
S
OSJECrnV£l^Tode«MtilMwrM^ernM
9 ,
I
M
•fl
2
T
Q
BE
{24,14, 4}
ER
{-5,0}
{-5.4}
OU
CK
MB
-11.
{ - 4 , 7,12}
140
•
4 ^
0
^
{49,1,31}
Y
0
3--A
P
™&o^p5sS^
D
175
1
-.-re
S
1
2
ST
1
ALQESflA WITH PIZZAZZ]
© = {-2,1,4}
AF
E
{49, - 1 , 9} {-16.0}
QU
3
2
IN
IT
1
~3
H .
II
7
I
{-16, 8, - 2 }
-3
A
{24.14, - 7 }
ER
UP
{ - 4 , 2, 8} {-4, 3,12} {-4, 2. - 1 }
I
t.Y
1
|
OBJECnVE 1-t: Tofcidvalues of a function: to
find the tango of a function lor a given domain.
Name.
Date
Algebra I
Practice- Functions
Period
1) Decide whether each of the following ordered pairs are solutions to the function f ( x )
= x + 5. Show all your work for full credit.
o)(-3,8)
b)(2.7)
c)(0.-5)
d)(5,0)
2) Use the table of values to graph the function.
f (x) = 2(x+l)-4
X
-8
-4
0
2
5
f(x)
(x,y)
r—
ri
R
u
{
(J
0i f uJ
1
1
~b
1n
n
i.
b
1
>
1i
i
f
i_
:.r.
•
(
u •
a
u
4
y
—i
L
3) Evaluate the function f o r D: {-2, -1,0, 3, 5}. Then graph the function.
X
g(x) = x -l
2
9(x)
n•
(x,y)
u
l',
u
•
^1
0
0
t
T
i10
>
B
1
°l - /
iL
T
i s -
Q
(J
0
y
(
I
1 ]
1
fx
D
List the ordered pairs, domain, and range f o r the given functions
-3
5)
4)
P> <c~5
2
f(x)
-1
4
-2
X
-1
3
4
5
X
0
\
1/
5
\
/
10
O P : (-1,-1)
aY)/.V,-2)ls~Io)
D: -
jl, I/ft-
,
U, &
Decide whether the following relations ore functions. Explain your answer.
7)
6)
•
•
•
I
i
Yes or No:
Explain:
Yes or No .
Explain: ft/US
1
. >$S T2 S)
vfr T?TJ
8)
X
-1
3
4
5
3
Explain:
3
f(x)
-10
14
-32
-10
-5
htez^D
lja»
t
Explain:
• ^
fa^fh
\
Name:
Hour:.
Algebra I
Function Notation Worksheet
Date:
1. Evaluate the following expressions given the functions below:
g(x) = -3x + l
f(x) = x + 7
a. g ( 1 0 ) = - 3 £ / 6 ) + | -
b. f(3)=
c. h(-2)=
h(x) = —
x
2
-2<|
~I
^
^
j(x) = 2x + 9
'
d. j(7)= \H*°l * cP2>
e. h(a) =
f. Findxifg(x)=16
g. P t a d x i f h W - - ^
£X~h.
Findxiff(x) = 23
" ^ i i
- 2 - Js^-fc
P3=
~-?*''2.
XV
V
CHALLENGE! (in other words, optional)
g(b4c) =
j.
CHALLENGE! (also optional)
f(h(x))
2. Translate the following statements into coordinate points:
b. h(2) = 7
c. g(l) = - l
~lf I
£l
^
=
#
i.
a. f ( - l ) = l
* ~k
-3(trc) ^/
-=/lp\
) Y</
d. k(3) = 9
Given this graph of the function f(x):
Find:
a. f(-4)=
-
e. x when f(x) = 2
-*{
f(0)=
0
c f(3)
f. x when f(x) = 0
0
d. f(-5)
- 0