Exponents and Exponential Functions

• a
• b
• c
• d

USE THE CALCULATOR:
The equation  y = 75(1.2)^x describes the number of staff since 1998. 
What is an approximate number of staff in the year 2005?

• 269

• 187

The value of an investment is modeled by the function y = 125 (1.4)^x. Which statement is true

• The value of the investment will increase over time

• The value of the investment will decrease over time

• The value of the investment will remain the same

What should you do with the exponents in order to simplify this expression?
(c⁵)(c³)(c³)

• Subtract them

• Multiply them

• Add them

• Divide them

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

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?

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?