Exponential Functions

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

Multiple Choice

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Multiple Choice

In an exponential function, what does the 'a' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

Multiple Choice

In an exponential function, what does the 'b' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay

Multiple Choice

Pick the equation that is exponential decay

• y = 2000(0.88)^x

• y = 0.5(1.88)^x

• y = 10(3/2)^x

• y = 0.8(13)^x

Multiple Choice

Which function will show exponential behavior?

f(x) = (4.3)^x 

or

g(x) = 4.3x + 9

• f(x)

• g(x)

• both

• neither

Multiple Choice

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Multiple Choice

Identify the initial value:

y = 6.87 (4)^x

• a = 4

• a = 6.87

• a = 3

• a = 1

Multiple Choice

What type of pattern do exponential functions have?

• Adds by the same number every time

• Multiplies by the same number every time

• Square roots all the inputs

• Squares all the inputs

Multiple Choice

What type of pattern do linear functions have?

• Adds by the same number every time

• Multiplies by the same number every time

• Square roots all the inputs

• Squares all the inputs

Multiple Choice

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%

• 13%

• 800%

• 8.7%