Exponential Function

What type of pattern do exponential functions have?

• Adds or subtracts by the same number every time

• Multiplies or divides by the same number every time

• Square roots all the inputs

In an exponential function, what does the 'a' represent?

• Input

• Rate of change

• Y-intercept/Initial value

• Output

In an exponential function, what does the 'b' represent?

• Input

• Rate of change

• Y-intercept

• Output

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

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?

The function shown is a(n)​ (a)   function.

This function shows ​ (b)   because the graph is decreasing.

The horizontal asymptote is at ​ (c)  

• exponential

• decay

• y=-1

• linear

• x=-1

• growth

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?

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 at the shipping company increases at a rate of 7.5% each year.

Which function can be used to model the number of employees, f(x), at the shipping company after x years?

​ (a)  

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x