Properties of Exponents
Square Roots
Solving Equations
Writing Functions
Writing More Functions
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 pattern: 1, 5, 25, 125, 625, ...
f(x)=5^x
100
Write an exponential function based on the following table:
f(x)=3*2^x
100
C=400*(1.03)m represents the number of customers c it has in terms of the number of months m since it launched the ordering system. What factor does it grow in one year?
1.0312
1.43100
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 pattern: 7/2, 14/4, 28/8, 56/16, ...
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
C=400*(1.03)m represents the number of customers c it has in terms of the number of months m since it launched the ordering system. If y is time in years, write an equation for the number of customers c as a function of the number of years y after the introduction of the ordering system.
c=400*(1.0312)y
c=400(1.43)y
200
What is Ms.Mikayla's last name (spelling counts)
Lezovich
300
(4y^3)(2x^2)^2
16y^3x^4
300
sqrt(98)
7*sqrt(2)
300
2^(2x) = 1/16
-2
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
A credit card has a nominal annual interest rate of 18% and interest is compounded monthly. The cardholder uses the card to make a purchase a $30 purchase. Which expression represents the balance after five years
30(1+.18/12)5*12
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
Given h(x)=4x, what is h(x+1)/h(x)
4
400
The general form of an exponential function.
y = a(b^x)
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 pattern: 1, -2, 4, -8, 16, -32, ...
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
Given h(x)=4x, what is h(x+2)/h(x)
16 or 42
500
In order for a function to be exponential it must have a common _______________
ratio.