Download Name: :______ Machines at Work Use the example below to

Student Resource 2
Name:___________________________Date:____________
Machines at Work
Use the example below to complete the following machines.
EXAMPLE:
Input
Short
The Opposite
Tall
1.
Output
_______
3 sides
The shape name
The shape name
______
2.
hexagon
_______
Arizona
The first letter
of the state
The first letter
of the state
______
F
3.
Meow
______
Animal that makes
the noise
Animal that makes
the noise
______
Pig
Student Resource 2
4.
______
Texas
USA capital city
USA capital city
Annapolis
______
5.
______
10
Add 4 to the
number
Add 4 to the
number
9
______
6.
______
-2
Multiply the
number by 4
Multiply the
number by 4
16
______
7. Make 2 different machines of your own below for a friend to
complete.
______
_______________
_
_______________
_
______
______
______________
______________
______
Student Resource 3
What’s the Rule?
1.
1
2
3
4
2
4
6
8
5
6
8
14
9
10
18
Rule: _________________________________________
2.
1
2
3
4
5
1
4
9
16
25
6
7
9
10
64
Rule: _________________________________________
3.
5
10
15
20
25
0
5
10
15
20
30
35
45
50
35
Rule: _________________________________________
4.
1
2
3
4
5
-1
-2
-3
-4
-5
6
8
9
10
-7
Rule: _________________________________________
Student Resource 4
FUNCTION CRISS-CROSS
1.
7.
9.
10.
Across
The resulting value from the function
A mathematical rule written using
symbols
A set of two numbers in which the order
has an agreed upon meaning
A device that performs a specific task
Function
Range
Pattern
Domain
2.
3.
4.
5.
6.
8.
Down
A repeated design or recurring sequence
Another word for input
A Mathematical relationship between two
values where the second value depends on the
first.
The value going into the function
Another word for output
A list of numbers that follows a certain pattern
Word Bank
Ordered Pair
Equation
Series
Machine
Output
Input
Student Resource 5
Name:_______________________ Date:________________________
Ins & Outs of Functions
Fill in each table, then complete the rule, and a description of the
domain & range.
4.
1.
In
Out
In
Out
Apple
A
Soccer
Banana
Kiwi
Baseball
Orange
Grapes
Basketball
Rule:
Rule:
Domain:
Domain:
Range:
Range:
2.
In
Night
Heavy
Short
5.
Out
Day
Little
Skinny
Rule:
Domain:
Range:
3.
Out
4
In
11
8
-3
2
0
Out
Rule:
Domain:
Range:
In
Valentines
Christmas
Independence
Day
Labor Day
Halloween
Rule:
Domain:
Range:
In
10
12
8
4
-2
Out
February
6.
Rule: Multiply each number
by 4, then add 2
Domain:
Range:
Student Resource 6
Name:_________________Date:________
The Most Important Thing about
FUNCTIONS!
List below the important things that we have studied
about functions.
___________________________________
___________________________________
___________________________________
___________________________________
___________________________________
___________________________________
___________________________________
___________________________________
Now, write the MOST important thing you think that
we have studied and why you picked it as the most
important.
___________________________________________
___________________________________________
___________________________________________
___________________________________________
___________________________________________
___________________________________________
___________________________________________
Student Resource 7
Number Detective
Please mentally identify the rule and then find the missing term.
1.
2.
3.
4.
5.
1
2
3
4
3
6
9
12
1
2
3
4
-4
-3
-2
-1
1
2
3
4
1
4
9
16
1
2
3
4
16
17
18
19
1
2
3
4
-2
-4
-6
-8
5
20
99
N
5
20
99
N
5
20
99
N
5
20
99
N
5
20
99
N
Student Resource 8
Name:______________________ Date:___________
Function Tables
Directions: Complete the following tables. If the x value is given, evaluate
the function to find y. If y is given, work backwards to find x. If there is
no value for x or y, use your own value for x to find y. SHOW ALL WORK!
1.
3.
f ( x) x 1
X
Work
Y
f ( x) 2 x 3
X
8
-2
-1
-1
2
0
0
1
2.
4.
f ( x) 3x
X
Work
Y
f ( x)
X
0
4
1
3
2
0
3
Work
Y
2x 1
Work
Y
Student Resource 8
5.
f ( x)
X
x
1
2
Work
8.
Y
f ( x) 2 x 2
X
Work
Y
0
2
4
6.
f ( x) x 1
X
Work
9.
Y
f ( x) 8x 1
X
Work
Y
5
-1
1
0
7.
f ( x)
X
10.
3x 1
Work
Y
X
1
-3
0
0
3
f ( x)
x
3
Work
Y
Student Resource 9
Name: ______________________________
Date: _______________________________
Class/ Teacher: ______________________
Period: _____
Functions Quiz
1.
Identify the rule for each function.
a.
X
F(x)
1
10
2
20
3
30
4
40
Rule: ____________________________________
b.
X
F(x)
1
12
2
13
3
14
4
15
Rule:__________________________________
2.
Matching: Match each term with the appropriate definition.
_____
Function
_____
Series
_____
Domain
_____
Output
_____
Ordered Pair
a.
b.
c.
d.
e.
A set of two numbers in which
the order has an agreed upon
meaning
Another word for input
A Mathematical relationship
between two values where the
second value depends on the
first
A list of numbers that follows a
certain pattern
The resulting value from the
function
Student Resource 9
3.
Complete the following tables
a.
f(x) = 3x-2
x
b.
Work
f(x)
x
-2
-30
0
-2
5
0
26
5
f(x) = 5 + 2x
Work
f(x)
Bonus:
4.
List the ordered pairs created by the function in example 3(a).
(
,
5.
List the ordered pairs created by the function in example 3(b).
(
,
)
)
(
(
,
,
)
)
(
(
,
,
)
)
(
(
,
,
)
)