Properties of Exponents
Exponential Functions
Graphing Exponential Functions
Exponential Growth and Decay
Geometric Sequences
100
Simplify
c^18/c^6
What is
c^12
?
100
What do the "a" and "b" values represent in the equation:
a(b)^x
What is the initial value (or the y-intercept), and what is the growth/decay rate?
100
Sketch a graph of exponential growth. Describe one key feature of the graph.
What is 
100
Members of the Palace Golf Club receive a 10% discount on purchases of $100 or more at the pro shop. During peak months the pro shop gives all shoppers $5 off any purchase with a subtotal of $50 or more after all other discounts are applied. How much would a member save on a purchase of $150 during a peak month?
What is $20?
100
What is the common ratio of the geometric sequence below?
-5, -10, -20, -40, ...
r = 2
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 next number in the geometric sequence below?
32, 8, 2, ____
1/2
300
Simplify
-5x^-3
What is
1/125x^3
300
True/False
When given a common ratio value b when 0<b<1, this represents an exponential growth. Provide an example of a b-value that fit's the parameters shown.
What is true? What is a fraction between 0 and 1?
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
What is the rule for the following sequence?
4, -12, 36, -108, ...
a_n=4*(-3)^{n-1}
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
A small town has noticed a recent change occurring in the population. Is this an increase or decrease in population and what is the percent changed?
f(x)=100(1.03)^x
What is increase? What is a factor of 3%?
400
What is the 8th term in this geometric sequence?
-0.04, -0.2, -1, -5, ….
-3125
500
Simplify
(20q^5p^-1)/(5q^3p^8)
What is
(4q^2)/p^9
500
The graph of an exponential function, identify the initial value and the horizontal asymptote.
What is (0,2) or y=2? What is the x-axis or y=0?
V(x) = 2(4)^x
500
Consider the graph below
Which most closely match the equation of the graph?
y=7/3x+1
y=x^2+1
y=x^3+1
y=2^x
y=2^x
500
The number of bacteria in a petri dish culture triples every two days. Initially there were 250 bacteria present.
Which equation models the number of bacteria B after t days?
B= 250*3^{t+2}
B=250*3^{t/2}
B=250*3^{t^2}
B=250*3^{2t}
B=250*3^{t/2}
500
The table below shows the discount prices for a pair of shoes over several months. a) Write a rule, then b) find the price of the shoes after 8 months.
a)
a_n=80*(0.9)^{n-1}
b) $38.26