Chapter 6 Exponents and Exponential Functions

Simplify.

Simplificar.

(x⁴) (x)

• 2x⁴

• x

• x⁵

• x⁴

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

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?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Use the product law to solve. Utilice la ley de productos para resolver. (7^-17)(7^-24)

• 7 ^-7

• 49⁶⁹⁷

• 7 ^-41

• 49 ^-41

Solve.

Resolver.

(y⁶)(y^-11)

• y^-66

• y^-5

• y⁵

• y¹⁷

5²·5⁵=

• 5⁷

• 5³

• 5^-7

• 5^-3

Simplify 5³⋅5⁴

• 5⁷

• 5⁻¹

• 5¹²

• 5

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative