You have been trapped!
How unexpected! You are stuck in my
evil lab! You can only escape if you can
solve my puzzles! But you don’t know
how to solve functions, do you?
This Photo by Unknown Author is licensed under CC
BY-SA
Input-Output Tables
Input
1
2
3
4
5
Output
-3
-2
-1
0
1
Given an Input-Output Table,
figure out what rule will give you
the desired output from the input.
Example: In the table on the left,
we notice our output is 4 less than
the input, so we subtracted 4. This
would make our function’s rule
would be
f(x)=x-4
Level 1: What has to be broken before you can use it?
Match the function rules below with the correct table. (Note: Not all
functions will be used, and some may be used twice)
Input
Output
Input
Output
Input
Output
Input
Output
Input
Output
0
0
10
6
-2
-8
-27
-3
-64
-4
1
1
14
10
-1
-1
-8
-2
-8
-2
4
2
18
14
0
0
0
0
8
2
9
3
22
18
1
1
1
1
125
5
16
4
26
22
2
8
64
4
27
3
This Photo by Unknown Author is
licensed under CC BY
N
𝑓 𝑥 =𝑥−4
E
ℎ 𝑥 = 𝑥3
G
𝑘 𝑥 =
F
𝑔 𝑥 = 𝑥2
A
𝑗 𝑥 = 𝑥
S
𝑚 𝑥 =𝑥
3
𝑥
Level 2: It seems you
were able to figure out
my riddle… but you will
never escape my maze!
HEEEEEEEEEEELP! I activated my building destroy-inator
and the off switch broke! There is a fail-safe code but I
can’t remember it! Please save us!
A B C D
1 2 3 4
Enter Numeric
Code Here
1. 𝐹𝑖𝑛𝑑 𝑓 𝑥 = 5𝑥 − 3 𝑤ℎ𝑒𝑛 𝑥 = 4
𝑓 4 =1
𝑓 4 = 17
𝑓 4 =2
𝑓 4 = 23
2
2. 𝐹𝑖𝑛𝑑 𝑓 𝑥 = 𝑥 + 3 𝑤ℎ𝑒𝑛 𝑥 = 2
𝑓 2 = 11
𝑓 2 =7
𝑓(2) = 5
2
𝑓 2 = 2𝑥 + 3
3. 𝐹𝑖𝑛𝑑 𝑓 𝑥 = 3 − 𝑥 𝑤ℎ𝑒𝑛 𝑥 = 𝑦 + 1
𝑓 𝑦+1 =2−𝑦
𝑓 𝑦+1 =4−𝑦
𝑓 𝑦+1 =4+𝑦
𝑓 𝑦+1 =2
2
4. 𝐹𝑖𝑛𝑑 𝑓 𝑥 = 𝑥 𝑤ℎ𝑒𝑛 𝑥 = 𝑦 + 1
2
2
𝑓 𝑦+1 =𝑦 +1 𝑓 𝑦+1 =𝑦 −1
2
𝑓 𝑦+1 = 𝑦+1 𝑓 𝑦+1 =𝑦 +𝑦+1