Exponential Rates

Is the following a growth rate or a decay rate?

• Growth Rate

• Decay Rate

• Not enough information

Is the following a growth factor or a decay factor?

• Growth Factor

• Decay Factor

• Not enough information

Is the following a growth factor or a decay factor?

• Growth Factor

• Decay Factor

• Not enough information

A population of 1500 deer decreases by 1.5% per year. In 10 years there will be 1290 deer. Which function can be used to determine the number of deer, y, in this population at the end of x years?

• y = 1500(0.985)^X

• y = 1500(0.015)^X

• y = 1500(1.015)^X

• y = 1500(1.5)^X

Logarithmic functions are the inverse of _________________

• exponential functions

• linear functions

• quadratic functions

• cubic functions

The equation shows the rate of growth of a population. What is the rate of growth?

• 1.035%

• 350%

• 35%

• 3.5%

Given a graph of an exponential function that passes through the points (1,2) and (3,8), what is the rate of the exponential function?

• 2

• 3

• 4

• 6

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Compare the following functions:

f(x) = 100(1.25)^x

g(x) = 100(1.02)^x

Which function has the greater rate of change?

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both