Exponential Functions Pre-Test

Determine if the table represents a linear function or an exponential function. Explain.

• Exponential. As x increases by 1, y is multiplied by 1/2.

• Exponential. As x increases by 1, y is multiplied by 2.

• Linear. As x increases by 1, y decreases by 4.

• Linear. As x increases by 1, y values are decreased by 1/2.

• (0, -1)

• (-1, 2)

• (0, 0)

Write an function that represents the scenario.

Allison starts with $100. She invests this money in an account that promises to double her money every year.

Let y = account balance ($) and x = # of years

Write an function that represents the scenario.

A school's enrollment is 500 students, and is expected to decrease 5% each year.

Let y = number of students enrolled and x = # of years

• exponential growth

• exponential decay

• neither

• exponential growth

• exponential decay

• neither

• exponential growth

• exponential decay

• neither

Write the explicit equation for the nth term for the following geometric sequence:

{4, 12, 36, 108,...}

Write the explicit equation for the nth term for the following arithmetic sequence:

{-8, -2, 4, 10, 16...}