Exponents and Exponential Functions

Simplify 5³⋅5⁴

• 5⁷

• 5⁻¹

• 5¹²

• 5

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

• 5⁷

• 5⁶

• 7⁵

• 5

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

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?

​ (a)  

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?

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

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?

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