Exponential Functions Intro and Review

Which is the basic form of an exponential function?

Describe the function:

• exponential growth

• exponential decay

Describe the function:

• exponential growth

• exponential decay

Estimate the half-life of the radioactive substance shown in the graph:

• 6 months

• 6 hours

• 1 year

• 1 minute

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

The half-life of ibuprofen is 1-hour. You take 400 mg of ibuprofen. Write an exponential equation that could be used to find the amount of ibuprofen you have remaining in your body after x hours.