Exponentials Unit

Identify each function as representing exponential growth or decay and determine the rate. 
f(x) = 5(1.06)^x

• growth; 106%

• decay; 6%

• growth; 6%

• decay; 106%

Which equation represent this situation?

• y = 280(1.03)^t

• y = 280(0.97)^t

• y = 280(1.3)^t

• y = 1.03(280)^t

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• It doesn't say

• I don't know

• 400%

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Logarithmic functions are the inverse of _________________

• exponential functions

• linear functions

• quadratic functions

• cubic functions

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

A logarithmic function is the inverse of an exponential function.

• True

• False

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

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