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