Properties of Exponents
Extracting Perfect Squares
Solving Equations
Writing Functions
Writing More Functions
So Random
Vocabulary
100
(5x)^2
25x^2
100
sqrt(16)
4
100
2^x=4
2
100
Write an exponential function based on the following explicit formula: gn=10*5n-1
f(x)=2*5^x
100
Write an exponential function based on the following table:
f(x)=3*2^x
100
This song won Best Original Song at the 2019 Oscars
Shallow
100
This is the spot where a graph crosses the y axis
y-intercept
200
2r^2*3r^-1
6r
200
2*sqrt(25)
10
200
3^(x+1)=81
3
200
Write an exponential function based on the following explicit formula: gn=7*2n-1
f(x)=(7/2)*2^x
200
Hermione wants to fill her library with more books. Her library already has 20 books in it. She then casts a spell that cause the number of books in her library to triple each day. Write an exponential function to model how many books are in her library on any given day.
f(x)=20*3^x
200
This was the first princess movie that Disney came out with
Snow White and the Seven Dwarfs
200
This is the ratio between any two consecutive terms in a geometric sequence
Common Ratio
300
(4y^3)(2x^2)^2
16y^3x^4
300
sqrt(98)
7*sqrt(2)
300
5^(7x)=625
0
300
Write an exponential function based on the following table:
f(x)=4*(1/2)^x
300
Write an exponential function based on the following graph:
f(x)=10*(1/2)^x
300
The quarterback for the Seattle Seahawks
Russell Wilson
300
What do x and f(x) represent in an exponential function?
Input and output
400
((2p^2)/(r^5))^-2
(r^10)/(4p^4)
400
2*sqrt(108)
12*sqrt(3)
400
7^(8-x)=49
6
400
Write an exponential function based on the following graph:
f(x)=2^x
400
A magician is attempting a rope cutting trick. In this trick he begins by cutting a 7 foot rope into thirds. He then continue to cut each piece into third again and again. Write an exponential function to model the length of the pieces of rope after x cuts.
f(x)=7*(1/3)^x
400
This twitter account rates a certain type of animal (always giving over 10/10)
WeRateDogs
400
The general form of the explicit formula for a geometric sequence
gn=g1*rn-1
500
((s^4*3r^-1)/2r^7))^0
1
500
3*sqrt(9)*sqrt(50)
45*sqrt(2)
500
4^x=1/64
-3
500
Write an exponential function based on the following explicit formula: gn=6(-2)n-1
You cannot write an exponential function for this explicit formula because the common ratio is less than 0
500
Natalie invests $1000 into the stock market. Each month her investment increases by 20%. Write an exponential function to model how much money Natalie has after x months.
f(x)=1000*1.2^x
500
This popular musical gives a glimpse into the life of one of America's founding fathers
Hamilton
500
In order for a function to be exponential the common ratio must be _______________.
Greater than 0 but not equal to 1