Properties of Exponents
Exponential Functions
Graphing Exponential Functions
Exponential Growth and Decay
Solving Exponential Functions
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
Is the following arithmetic or geometric:
2916, 972, 324, 108, ...
Geometric
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
What is the common difference? Is the sequence arithmetic or geometric?
15, 11, 7, 3, ....
Common difference: -4
Arithmetic
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
Using the parent function y=2^x. Write a transformed function with the following transformations:
1.) Reflect over x
2.) Vertically Compress by a factor of 3/4
3.) Horizontal translation left by 6
y=-(3/4)(2)^x+6
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
Identify the common ratio and then find the next three terms: (Round to the nearest hundredth)
15, 22.5, 33.75, 50.63, ....
Common ratio: 1.5
Next three: 75. 94, 113.91, 170.86
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
Using the parent function y=2^x. Write a transformed function with the following transformations:
1.) Reflect over the y-axis
2.) Vertical translation up 3
3.) Horizontal translation right 2
4.) Vertical stretch by a factor of 4
y=4(1/2)^x-2 + 3
400
Fluorine-20 has a half-life of 11 seconds. This is the amount of fluorine-20 left from a 50 gram sample after 44 seconds.
What is 3.125 grams?
400
Write a recursive rule for the following:
3, 18, 108, 648, 3888,....
a1= 3, an = 6an-1
500
Simplify
(20q^5p^-1)/(5q^3p^8)
What is
(4q^2)/p^9
500
Explain how you solve an exponential function with unlike bases.
Answers vary
500
Find the equation that models the following table.
What is
y = 3(2)^x
500
Beth and Bill are playing a game with 8 sided dice. A die has 2 blue sides, 2 red sides, 2 orange sides, and 2 green sides. They start with 200 dice and roll them. If an orange side comes up, they remove those dice and roll the remaining dice again. Write an equation to model Beth and Bill’s game.
What is
y = 200(2/8)^x
500
Write an explicit rule for the sequence:
3, 18, 108, 648, 3888,...
an=3(6)^n-1