Compounding/Half life
Exp/Logs Rules
Exp/Log Functions
Functions
Misc.
100
What formula do we use if an account is being compounded continuously?
A(t)=Pert
100
Simplify the following using exponent rules:
(3x^4y^2)/(6xy^3
(x^3)/(2y)
100
Convert the following from exponential form to log form (DO NOT SOLVE):
7x=29
log7(29)=x
100
What formula do we use to the find the average rate of change of a linear function?
(y2-y1)/(x2-x1)
100
How many permanent teeth should you have as an adult?
32
200
What is the formula we use if we are compounding: daily, monthly, quartly, etc.
A(t)=P(1+r/n)^(nt
200
Expand the following:
log(4x^3y^(1/5))
log(4)+3log(x)+1/5log(y)
200
Convert the following from log form to exponential form:
loga(b)=c
ac=b
200
What steps do we follow to find the inverse of a function?
Swap x and y and solve for y
200
Who is this and what was he known for?
Alex Trebek- Former host of Jeopardy
300
What is the "n" value we plug in if we are compounding:
Monthly
Daily
Quarterly
Semi-Annually
Monthly: 12
Daily: 365
Quarterly: 4
Semi-Annually: 2
300
Expand and simplify the following:
log((sqrtx^3y^5)/100)
3/2logx+5logy-log100
3/2logx+5logy-2
300
What is the domain and range of the following function:
f(x)=log3(x-2)
R: (-infty, infty)
D: (2, infty)
300
How can we tell if a function is even by looking at the graph?
It is symmetrical over the y-axis.
300
Which animal can hold its breath longer than a dolphin?
Sloth
400
Shelby is investing $5000 in an account that earns 2.7% interest compounded monthly. How much money would she have in her account in 10 years?
$6547.84
400
Use the method of common bases to solve for x:
2x=64
x=6
400
What is the vertical asymptote and x-intercept of the following:
f(x)=log2(x-4)
x= 4
(5,0)
400
What value is not included in the domain of the function
f(x)=(x+7)/(x-5)
x=5
400
How many spikes are on the Statue of Liberty's crown?
7
500
A rabbit population doubles every 6 years. If there is initially 150 rabbits in an area, how many rabbit would there be in 14 years?
756
500
Use the method of common bases to solve for x:
125=(1/5)^(x-12)
x=9
500
The amount of water draining out of a tank can be represented by the function G(t)=1000(.936)t where G(t) represents the gallons of water left in the tank and t represents the hours that have gone by. What percent is the tank draining per hour?
6.4%
500
How can we tell if a function is a one-to-one function?
Passes HLT and VLT or x-values and y-values cannot repeat
500
What condiment was once used as medicine in the 1800s?
Ketchup