Powers and Exponents
Explicit/Recursive
Decay/Growth
Multiple Choice
Zero and Negative Exponents
100
(-3)^3
What is -27?
100
The recursive formula for the sequence: {3, 9, 27, 81,...}
What is An=A(n-1) times 3?
100
Write an equation to model the following: a student invests $250 at a rate of 3% annual interest. How much will the student have after x years?
What is y=250(1.03)^x?
100
4^x=-8 (multiple choice in the answer)
a. infinite solutions b. no solution c. x=-2 d. x=-4
100
4^-2
What is 1/16?
200
2^5
What is 32?
200
Write the explicit formula for the following sequence: {1, 5, 25, 125,....}
What is An=1 times 5^n-1?
200
f(x)=750(.78)^x represents a decreases population of an endangered species. What is the percentage of decay?
What is 22%?
200
f(x)=4^x g(x)=4^x -3. To graph g(x) from f(x) you translate f(x):
a. to the right 3 units b. to the left 3 units c. up 3 units d. down 3 units
200
5fg^-4
What is 5f/g^4?
300
5^x Label a and b in this equation.
What is a=1, b=5?
300
The 15th term of the sequence {3, 6, 12, 24,...}
What is 98,304?
300
Label the following exponential growth or decay
What is f(x)=(3/2)^x?
300
Evaluate f(x)=5(4)^x for x=-2
a. 5/16 b. 80 c. 5/4 d. 25/4
300
4/c^-7
What 4c^7?
400
(1/3)^-3
What is 27?
400
The recursive formula for the following sequence: {32, 16, 8, 4,....}
What is An=A(n-1) times (1/2)?
400
You borrow $5000 at a 7.3% annual interest rate. You will owe this much after 5 years if the interest is compounded yearly.
What is $7111.62?
400
f(x)=(1/4)^x
a. exponential growth b. exponential decay
400
(r^0)/(s^-9)
What is s^9?
500
(4/5)^-2
What is 25/16?
500
The explicit formula for the following sequence: {6, 2, (2/3), (2/9),....}
What is An=6 times (1/3)^n-1?
500
You buy a car for $20,000. The value of the car decreases by 13% each year. After 6 years, the car will be worth this much
What is $8672.52?
500
Find the range of the following: y=18(0.4)^x for the domain {-2, 0, 1}
What is {112.5, 18, 7.2}?
500
Evaluate f(x)=5(2)^x if x=-3
What is 5/8?
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