Exponential, Linear, Quadratic Functions

Identify the following function. 

• Linear

• Exponential

• Quadratic

• Neither

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Identify the following function. 

• Linear

• Exponential

• Quadratic

• Neither

Given the table, determine the equation of the function. 

• y = 4(4)^x

• y = 4(¼)^x

• y = 4(x-0)² + 4

• y = 2(x-1)² + 16

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

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?

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?

Given the table, determine the equation of the function. 

• y = 2(½)^x

• y = 2x + 3

• y = -3x + 2

• y = 3(2)^x

What function model best represents the data in the table?

• linear

• exponential

• quadratic

What function best models the data in the table?

• linear

• exponential

• quadratic