9.1 (Intro / Word Probs)
9.2 - 9.4 (Graphing and Stuff Like That)
9.5 (Compounding Interest)
9.6 (Writing Exponential Functions)
Krazy Kolumn (Answers all have a "K")
100
Does the following equation represent growth or Decay?
0.75(1.6)^x
(30 Sec)
Growth
100
The Domain of any exponential function is: ____________
(-\infty,\infty)
100
In the formula y=P(1+r/n)^(nt) , what does the n represent?
The number of times the interest compounds per year
100
Write a function that fits the table
f(x)=4(4)^x
OR
f(x)=4^(x+1)
100
Who this be?
Kurt Cobain
200
What is the initial value of the function
f(x)=3(6.2)^x
3
200
What is the y-intercept of the function graphed below?
3
200
You invest $2,000 into an account that compounds interest monthly at a rate of 4%.
Write a formula for how much money will be in the account after t years
Hint:
y=P(1+\frac{r}{n})^{nt}
2000(1+\frac{0.04}{12})^{12t}
200
Write an exponential function passing through the points
(0,7) and (1,28)
y=7(4)^x
200
The brand Samsung is from what country?
South Korea
300
What is the growth FACTOR of the function?
f(x)=2(1.65)^x
1.65
300
What is the domain and range of the function f(x)=3(4)^x +6
D:
(-\infty,\infty)
R: (6,\infty)
300
Lulu and Linae invest $100 into an account that pays 6% interest compounded quarterly.
Calculate how much money will be in their account after 7 years.
100(1+\frac{0.06}{4})^{4\cdot7}=151.72
300
Write an exponential function for the graph provided:
y=2(4)^x
300
A baby dog is called a puppy. What is a baby goat called?
Kid
400
What is the decay RATE of the function? f(x)=7(0.37)^x
63%
400
What are the domain and range of the function f(x)=-3(1/5)^x+9
(I'll Graph this on the board)
D:
(-\infty,\infty)
R:
(-\infty,9)
400
Jane wants to buy a used car in 4 years for $5,000. How much should she INITIALLY invest in an account compounding monthly at an interest rate of 9%?
Recall
y=P(1+r/n)^(nt)
5000=P(1+0.09/12)^(12\cdot4)
\implies P = 3,393.08
400
Write an exponential function that passes through the points
(0,4) and (1,2)
y=4(1/2)^x
400
The intensity of which natural disaster is measured on the Richter Scale?
Earthquakes
500
An adult takes 400mg of ibuprofen. Each hour, the amount of ibuprofen in the blood stream decreases by about 29%.
Write an exponential Function that models how much ibuprofen is left in the blood stream
x hours after taking ibuprofen.
y=400(0.71)^x
500
What is the asymptote of the function graphed below?
f(x)=1/4(3)^x-2
y=-2
500
My brother needs to buy a house in 8 years. He needs $30,000 for the down payment. How much should he INTIALLY invest into an account that pays 7% interest compounded quarterly?
30,000=P(1+0.07/4)^(4\cdot8)
\implies P=17,219.61
500
Write the exponential function that fits the table:
y=0.2(1/2)^x
500
What is the tallest building in the world?
Burj Khalifa