Describe Exponential Functions

Write an equations that models the data shown.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

Describe the function:

• exponential growth

• exponential decay

Describe the function:

• exponential growth

• exponential decay

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.

What is the equation of the asymptote of the function?

• y=0

• y=50

• y=100

• y=25

Does the function represent exponential growth or decay?

• Decay

• Growth

Identify the horizontal asymptote of the exponential function: katex latex="y=3\left(\frac{1}{2}\right)^x"

• y=3

• y=1/2

• x=3

• y=0

• y = 0

• x = -1

• y = -1

• y = 1

• y > 1

• All real numbers

• y > -1

• x > -1