Properties of Exponents
Exponential Functions
Graphing Exponential Functions
Exponential Growth and Decay
Multiplier & Rates & Situation
100
Simplify
c^18/c^6
What is
c^12
?
100
This is what the "a" and "b" values are in
a(b)^x
What is the y-intercept (starting value) and constant multiplier (pattern)?
100
Sketch a graph of exponential growth. What is special about the multiplier when it’s growth?
What is 
100
A savings account earns 4% interest per year. If Josiah puts 500 dollars in now, this is how much will he have after 5 years
What is $608.33?
100
Given $1000 compounded quarterly at an annual 12% interest rate.
What is the quarterly interest rate?
What is 3%?
200
Simplify
(28n^9)^0
What is
1
?
200
This is the formula for exponential functions.
What is
a(b)^x
?
200
The graph of an exponential function will always cross the x - axis. True or false, explain your answer.
What is false.
200
The population of a small town is decreasing at a rate of 2% per year. in 1970 the population was 25,000. This is what the approximate population would be in the year 2020.
What is 9104?
200
Given $1000 compounded quarterly at an annual 12% interest rate.
What is the multiplier?
What is 1.03?
300
Simplify
-5x^-3
What is
-5/x^3
300
These ordered pairs represent an exponential function; (-1, .5),(0,3),(1,18),(2,108). True or false, explain your answer.
What is true there is a constant multiplier (6).
300
Graph
y = 2^x
300
The number of students in the book club is increasing at a rate of 15% per year and they started with 9 students. How much would they have after 7 years?
What is ~24 students?
300
Given
y = $5000(1.015)^(4x)
What is the interest rate?
What is 1.5% quarterly interest rate?
400
Simplify
(-3us^8d^2)^4
What is
81u^4s^32d^8
400
This is the answer when f(x) = 10(5)^x is evaluated for f(3).
What is 1250?
400
Graph
y = 4(1/2)^x
400
You just bought a vehicle for $13,000. The car’s value will decrease by 4% per year and it will be paid off in 6 years. How much will the car be worth when you pay it off? Does this show exponential growth or decay?
What is $10175.85?
400
Given
y = $5000(1.08)^x
What is the multiplier?
What is 1.08?
500
Simplify
(20q^5p^-1)/(5q^3p^8)
What is
(4q^2)/p^9
500
The graph of an exponential function, V, passes through the points (0, 2), (1, 8), (2, 32), and (3, 128) as shown on the graph below. Write an equation for the function V(x).
What is
V(x) = 2(4)^x
500
Find the equation that models the following table.
What is
y = 3(2)^x
500
You are opening a savings account and starting out with $800. Your account will grow by 3.5% each year. Write an exponential function to determine how much will be in your account in 3 years if you do not take out or deposit any more money. is it growth or decay?
What is y=800(1.035)3
growth
500
Given
y = $5000(1.08)^x
What is the amount of money you are beginning with and how much will you have if x=3?
What is $5000 and $6298.56?