Exponent Rules and Exponential Functions

Joey and Roger are playing a game.
- Joey and Roger each started with 50 points.
- At the end of each turn, Joey's points double.
- At the end of each turn, Roger's points increase by 200.
At the start of which turn will Joey have more points than Roger?

• 2

• 3

• 4

• 5

Tags

CCSS.HSF.BF.A.2

A scientist studied bacteria. She placed 5 bacteria in a dish. The population of the bacteria doubles every 12 hours.
Which equation can be used to determine the number of bacteria, y, present after x days?

• y = 5(2)^x

• y = 5(10)^x

• y = 5(2)^2x

• y = 5(10)^2x

Tags

CCSS.HSF.LE.A.2

The function f(x) = (4)^x was replaced with f(x) + k, resulting in the graph shown.  What is the value of k?

• 0

• 1

• -1

• 2

Tags

CCSS.HSF.BF.B.3

Which expression is equivalent to ∜x

• x ^1/4

• x ^-1/4

• x⁴

• x^-4

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Tags

CCSS.HSF.LE.A.2

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?

Tags

CCSS.HSF.LE.A.2

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?

Tags

CCSS.HSF.LE.A.2

Which is equivalent to (3^-2)^1/2?

• 1/3

• 1/9

• 3

• -3

Tags

CCSS.HSN.RN.A.2

Which expression is equivalent to (16xy¹²)^1/4?

• 2xy³

• 4y³ * √x³

• 2y³ * ∜x

• 4y³ * ∜x

Which expression is equivalent to (x^1/4)^-4?

• 1/x

• √x

• 1/(x⁸)

• 1/(x¹⁶)