Exponential Functions and Exponent Laws

Identify the type of growth or decay for the function y = 7 * 1.1^x.

• Linear growth

• Quadratic growth

• Exponential growth

• Exponential decay

Identify the type of growth or decay for the function y = 4 * 1.2^x.

• Linear growth

• Quadratic growth

• Exponential growth

• Exponential decay

Simplify the expression 2^3 * 2^5.

• 2^7

• 2^2

• 2^15

• 2^8

Graph the function y = 3^x. What is the y-intercept?

• 0

• 2

• 1

• 5

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?

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

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

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?

Simplify the expression (5^2)^3.

• 5^5

• 5^8

• 5^10

• 5^6