This is the inverse function of an exponential function.
Logarithmic Equation
100
X^2 + 4X + 4
(X + 2)(X + 2)
100
I have 8 grams of Chemical X. It has a half life of 24 hours. 3 days later how much Chemical X do I have left?
1 gram
100
What is Mr. White's first name?
Nathan
200
f(x) = ln(x+3)
f-1(x) = e^x - 3
200
This is what we call a transformation that moves the graph up a certain amount of units
Vertical Translation
200
X^2 - 5X + 6
(X - 2)(X-3)
200
I have 16.2 kilograms of Lead. Lead has a half life of 62.9 years. How much lead will I have left after 1 half life has past?
8.1 kilograms
200
What state (or city) is Mr White originally from?
Missouri (or St. Louis)
300
f(x) = (x+3)/(x)
f-1(x) = 3/(x-1)
300
Log(x/y) = Log(x) - Log(y)
Quotient Rule
300
X^2 - 5X - 6
(X - 6)(X + 1)
300
I have 2,968 dollars. I need it to be 5,000. My bank compounds continuously at 5.5% yearly interest. How long do I need to leave my money in the bank to get the $5,000?
9.48272 years
300
According to the Atlas, what is Mr White's favorite food in the dining hall?
The Miso Soup
400
f(x) = 3^(5x+1)
f-1(x) = (1/5)(log3(x) + -1)
400
A line that continually approaches a given curve but does not meet it at any finite distance.
Asymptote
400
(e^2x) - (2e^x) + 1
(e^2x - 1)(e^2x - 1)
400
AUDIO CLUE
What rolls down stairs alone or in pairs rolls over your neighbor's dog? What's great for a snack and fits on your back? It's big, it's heavy, it's wood. It's better than bad, it's good!
400
In which month is Mr White's birthday?
October
500
f(x) = (1/2)(e^x + 1)
F-1(x) = ln(2x - 1)
500
y = x is it's own what?
Inverse Function
500
x^3 -2x^2 -5x +6
(x-1)(x+2)(x-3)
500
6 years ago I had 900 dollars in a bank that compounds monthly. Now I have 1,296 dollars. What interest rate did the bank give me?
0.060928
6.09%
500
All of the below are jobs that Mr. White has held. Which of them was his first?
a) Math Tutor
b) Build-A-Bear Workshop worker
c) Dog Walker
d) Software Trainer
e) Blacksmith