Properties of Exponents
Exponential Functions
Graphing Exponential Functions
Exponential Growth and Decay
More Properties of Exponents
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
(4g)-3
1/64g3
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
x-5/y2
1/x5y2
300
Simplify
-5x^-3
What is
-5/x^3
300
How does the function y= 2(3)x+3 -2 shift/move?
Stretches vertically by 2, shifts left 3, and down 2
300
What is the parent function of y = 4(3)x+5?
What is 3x
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
(3x5)3/(7y2)3
27x3/343y6
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
Where does every parent function cross the y-axis?
(0,1)
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 the number in standard form: 7.5 x 107
75,000,000
500
Simplify
(20q^5p^-1)/(5q^3p^8)
What is
(4q^2)/p^9
500
What shifts does the function y = (1/2)5x-5 + 4 make?
Vertical compression of 1/2, shifts right 5, and up 4
500
When given a graph, how do you know if the graph represents growth or decay?
Growth: a > or equal to 1
Decay: a<1
500
A brand new clinic opened in 2018. They started with 64 patients and each year, their patients increased by 7%. Identify your P, r, and t. How many patients will they have in the year 2025?
P=64, r = 0.07, t= 7 years
103 people
500
Write the number in scientific notation: 0.000045
4.5 x 10-5