Exponential Functions

What is the equation of the horizontal asymptote of the graph of the function y = 8(0.88)^x

• x = 16

• x = 0

• y = 1

• y = 0

The population of a town is modeled by an exponential function. The initial population is 55,000 people. After the first year, the population of the town is 59,500 people. If the population of the town continues to grow at the same rate each year as the first which function can be used to model the population after x years?

• p(x) = 59,500(1.097)^x

• p(x) = 55,000(1.082)^x

• p(x) = 59,500(0.082)^x

• p(x) = 55,000(0.924)^x

Using p(x) = -7.6(3.2)^x what is the domain of the function? (rounded to the nearest tenth)

• -3.2<x<11.4

• 0<x<10.2

• All real numbers

• -∞<x<15.5

Using p(x) = -7.6(3.2)^x what is the range of the function? (rounded to the nearest tenth)

• None

• -10.3 ≤ y ≤ ∞

• All real numbers

• -∞ < y < 0

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

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?

• 800

• 0.95

• 2000

• decay

• growth

• 5%

• 95%

A sample of a substance with an initial mass of 500 grams is decaying at a rate of 32% per hour. 

 

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

 

Enter your answer in the space provided.

Mathematical Equivalence

ON

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