SOUTHERN NEW HAMPSHIRE UNIVERSITY - 4-3 CALCULUS I:
SINGLE-VARIABLE CALCULUS (MAT225) PROJECT ONE GAME
TESTING 2025
, Southern New Hampshire University - 4-3 Project One:
[PRINT]
MAT-225-J1072 Calc I: Single-Variable Calc 23EW1 : MAT-225 : 1393504,
Wendy Taylor, 9/23/23 at 12:56:15 PM EDT
Question1: Score 0/1
Introduction
The year is 3500 and your spaceship has crashed on the planet Fluxion. Fortunately, your computer has survived the impact,
and you open it up to determine the next course of action. You learn that your computer has some maps and information on the
civilization, and that the city (and perhaps the planet) was abandoned several years ago. Based on the maps, it appears that
your only hope of reaching a communication device is to head to what appears to be the center of a city that you crashed near .
Your computer warns you that the city is protected by several gates, which have passcodes to activate.
The maps and images show a strange alien language that you have never encountered. You ask your computer if it can translate
this language and are told that the language, based on its structure, can only be translated into mathematics. The computer w ill
translate the gates' riddles and any other information into mathematics. You will need to answer the riddle as posed by your
computer (in mathematical language) for it to be able to enter the passcode for the gates. Fortunately, you have a notebook,
pencil, and a mathematics text on your computer as supports. You take your supplies, take one last look at your broken ship, and
head to towards the first gate.
The First Gate
Upon arriving at the first gate, you ask your computer to translate the riddle. "These appear to be limits", your computer replies.
"If you provide me with the answer to each of below questions, I will compile, translate, and communicate the passcode to the
gate. There is note here that the parameter a represents a real number such that 0 < a < 3." Your computer also reminds you
to type "infinity" for ∞, "-infinity" for −∞, and "NA" if the limit does not exist. You grab your notebook and pencil and begin.
lim x−3 =
x−a
x→a−
Your response Correct response
1 infinity
Auto graded Grade: 0/1.0
lim x−3 =
x−a
x→a+
Your response Correct response
1 -infinity
Auto graded Grade: 0/1.0
lim x−3 =
x→a x−a
Your response Correct response
infinity NA
Auto graded Grade: 0/1.0
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus
concepts to best support the work of the game design team.
1 & 2 take the derivative of the numerator and the denominator...
d (x − 3) = 1
dx
d (x − a) = 1
dx
So 1 = 1 is my answer for both as x approaches a from either the left or the right.
3. For the last one I just plug in 'a' for all of the x values...
a−3 = a−3 = a−3
a− a−a
Since a is a positive number and less than 3, and the denominator is 0 the answer is positive infinity.
Ungraded Grade: 0/0.0
1/12
SINGLE-VARIABLE CALCULUS (MAT225) PROJECT ONE GAME
TESTING 2025
, Southern New Hampshire University - 4-3 Project One:
[PRINT]
MAT-225-J1072 Calc I: Single-Variable Calc 23EW1 : MAT-225 : 1393504,
Wendy Taylor, 9/23/23 at 12:56:15 PM EDT
Question1: Score 0/1
Introduction
The year is 3500 and your spaceship has crashed on the planet Fluxion. Fortunately, your computer has survived the impact,
and you open it up to determine the next course of action. You learn that your computer has some maps and information on the
civilization, and that the city (and perhaps the planet) was abandoned several years ago. Based on the maps, it appears that
your only hope of reaching a communication device is to head to what appears to be the center of a city that you crashed near .
Your computer warns you that the city is protected by several gates, which have passcodes to activate.
The maps and images show a strange alien language that you have never encountered. You ask your computer if it can translate
this language and are told that the language, based on its structure, can only be translated into mathematics. The computer w ill
translate the gates' riddles and any other information into mathematics. You will need to answer the riddle as posed by your
computer (in mathematical language) for it to be able to enter the passcode for the gates. Fortunately, you have a notebook,
pencil, and a mathematics text on your computer as supports. You take your supplies, take one last look at your broken ship, and
head to towards the first gate.
The First Gate
Upon arriving at the first gate, you ask your computer to translate the riddle. "These appear to be limits", your computer replies.
"If you provide me with the answer to each of below questions, I will compile, translate, and communicate the passcode to the
gate. There is note here that the parameter a represents a real number such that 0 < a < 3." Your computer also reminds you
to type "infinity" for ∞, "-infinity" for −∞, and "NA" if the limit does not exist. You grab your notebook and pencil and begin.
lim x−3 =
x−a
x→a−
Your response Correct response
1 infinity
Auto graded Grade: 0/1.0
lim x−3 =
x−a
x→a+
Your response Correct response
1 -infinity
Auto graded Grade: 0/1.0
lim x−3 =
x→a x−a
Your response Correct response
infinity NA
Auto graded Grade: 0/1.0
Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus
concepts to best support the work of the game design team.
1 & 2 take the derivative of the numerator and the denominator...
d (x − 3) = 1
dx
d (x − a) = 1
dx
So 1 = 1 is my answer for both as x approaches a from either the left or the right.
3. For the last one I just plug in 'a' for all of the x values...
a−3 = a−3 = a−3
a− a−a
Since a is a positive number and less than 3, and the denominator is 0 the answer is positive infinity.
Ungraded Grade: 0/0.0
1/12
