Properties of Exponents
Exponential Functions
Exponential Growth/Decay
Compound Interest
Misc.
100
Solve the given equation.
What is:
140/9
100
Give all the information for the following graph:
a) x-intercept, b) y-intercept, c) domain, d) range, e) asymptote
f(x)=(1/2)^x
What are:
a) no intercept, b) 1, c) ALL REAL NUMBERS, d) y>1, e) y=1
100
Suppose a city with population of 150,000 has been decreasing at a rate of 4% per year. If this rate continues, find the population of the city in 22 years. Round to the nearest person.
What is:
61,102
100
Calculate the final amount of an investment of $115, compounded monthly, at a rate of 3% for 11 years.
What is:
$159.90
100
What is the domain of an exponential function?
What is:
ALL REAL NUMBERS
200
Solve the equation:
9^(3x-5)=81^(x+3)
What is:
11
200
What is the domain and range of the following:
f(x)=12(1/4)^x
What are:
Domain: ALL REAL NUMBERS
Range: y>0
200
Bacteria in a petri dish grows at an exponential rate. This one dish currently has 78 bacteria, and is increasing at a rate of 32% per day. If we let time be represented in days, determine how much bacteria will be present after 31 days. Round to the nearest whole number.
What is:
426468
200
Calculate the final amount of an investment of $500, compounded quarterly, at a rate of 4.2% for 15 years.
What is:
$935.73
200
Give the graph of the following function:
f(x)=-2(1/4)^x-3
What is:
300
Solve the equation:
(7^(x/2))(7^(x/4))=7^3
What is:
4
300
Find a possible equation for each function:
What is:
f(x)=2(3)^x andg(x)=65(1/5)^x
300
Part 1 of 3: Model the following as a linear function:
f: initial value of 740 decreasing at a rate of 14%.
What is:
740(0.86)^x
300
Calculate the final amount of an investment of $780, compounded monthly, at a rate of 7% for 18 months.
What is:
$866.09
300
What is the range of the following function(write as an inequality):
What is:
y>1
400
Solve the equation:
4^(-3x-5)=16^(x+10)
What is:
-5
400
What is the domain and range of the following:
g(x)=-2(3)^x+4
What are:
Domain: ALL REAL NUMBERS
Range: y<4
400
Part 2 of 3: Model the following as a linear function:
2: initial value of 55 increasing at a rate of 14%
What is:
55(1.14)^x
400
Calculate the initial amount to gain a final amount of $1,200, compounded weekly, at a rate of 4.2% for 18 years.
What is:
$563.62
400
Which is a better bank for your investment of $50,000 for 20 years:
Purple Cobras: compounded annually at 3.5%
Average Joe's: compounded quarterly at 3.47%
What is:
Average Joe's
by $296.78
500
Solve the equation:
16^(3x-6)=64^(x+3)
What is:
7
500
The walker population is growing exponentially. If the following equation represents the growth, beginning on June 11th, how many walkers will there be by June 28th? Round to nearest whole number.
f(x)=400,000(1.14)^x
What is:
3,710,586
500
Part 3 of 3: Find the approximate value that makes f(x) = g(x). Round to the nearest hundredth.
What is:
9.22
500
Determine the interest of an investment of $52, compounded monthly, at a rate of 1.4% for 3 years.
What is:
$2.23
500
How many years would it take to turn an investment of $2,000, compounded monthly, at a rate of 10%
What is:
63 years