Functions (Exponential and Logarithmic) Review

Identify the horizontal asymptote of the exponential function: katex latex="y=3\left(\frac{1}{2}\right)^x"

• y=3

• y=1/2

• x=3

• y=0

Which of the following functions shows an initial amount of $15 and an increase of 3.5% each year?

• y = 15(3.5)^t

• y = 15(1.035)^t

• y = 15(1.35)^t

• y = 35(1.15)^t

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^t

• y=30(5000)^t

• y=5000(1.3)^t

• y=5000x^t

You deposit $5,000 in an account that earns 3% interest compounded continuously. Which equation could be used to determine how much money would be in the account after 8 years?

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?

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?

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

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

Record your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.5.9.C

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

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

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth