Exponential Functions Study Guide

Which equation best describes the graph? 

• y = 2^x + 4

• y = 2^x - 3

• y = 2^x - 4

• y = 2^x + 3 

• 1600

• 2

• There is not enough information to tell.

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

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?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Given g(x)=5^x
Write a function that is reflected over the line x=0 and translated 4 units to the right. 

• f(x)= -5^x-4

• f(x)= -5^x+4

• f(x)= 5^(x-4)

• f(x)= 5^-(x-4)

16^x-7+5=24

• 9.6

• 8.062

• 8

• 7.5