Exponential Grown and Decay
Logarithmic Funtions
Exponential Equations
Word Problems
Random
100
What is an Exponential Funtion
A function that contains a variable in the exponent
100
Convert the following to Logarithmic Form: 3^3 = 27
log base 3 (27) = 3
100
Write each in exponential form: log base 4 (625) = 4
5^4 = 625
100
In 1981, the whale population was 350 and has increased at a rate of 14% each year. Write and exponential function and predict when the population will reach 20,000.
a. A(t) = 350(1+0.14)^t b. 31 years or 2012
100
evaluate the following function for f(3): f(x) = -4x+10
f(3) = -2
200

Growth or Decay? f(x) = 32(0.5)^x

Exponential Decay

200
Evaluate: log base 7 (343)
3
200
Write in exponential form: log base 4.5 (1) = 0
4.5 ^ 0 = 1
200
A scooter purchased for $10,000 depreciated at 15% each year. Write and exponential equation and predict when the value will fall below $100
a. A(t) = 10,000(1-0.15)^t b 29 years
200
Simplify the expression (non decimal answer): sqrt(20)/sqrt(120)
sqrt(6)/6
300

Growth or Decay? f(x) = 4(4/3)^x

Exponential Growth

300
Evaluate the following using mental math: log base 0.1 (100)
-2
300
Solve the following: 5 ^ x = 50
x = 2.43
300
In 2000 the population of the world was 6.1 billion. If it continues to increase at 1.4% what would the population be in 2020? When does the population surpass 10 billion?
a. 8.06 billion b. 2036
300
Express each number in terms of i: 5 sqrt (-48)
20i sqrt(3)
400

What percentage is the exponential function increasing at? g(x) = 500(1.014)^x

1.4%

400

Solve the following: log (5x)= 2

x = 20

400
Solve the following: 3 ^ (x-1) = 1/9
x = -1
400
How many years would it take for an initial investment of $100 increasing at a rate of 4% quarterly to reach $200
4.5 years
400

factor: 6x^2+43x-40

(6x-5)(x+8)

500

What percent is the exponential function decreasing by? f(x) = 100(.86)^x

14%

500

Solve: log(x/100) = -2

x = 1

500
Solve the following: 13 ^ (3x-1) = 91
x = 0.92
500
A new softball dropped from a height of 25 inches rebounds to about 2/5 the height on each successive bounce. After how many bounces would a softball bounce less than 1 inch
4 bounces
500

What is the only number when written out is in alphabetical order?

forty

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