Exponential Functions Behavior

What is the End behavior on the left side

•  x→∞, y→∞

•  x→⁻∞, y→∞

•  x→⁻∞, y→0

•  x→∞, y→⁻∞

What is the end behavior of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→2

•  x →∞,y→2 and x→⁻∞, y→∞

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

What is the End behavior on the right side

•  x→∞, y→∞

•  x→⁻∞, y→∞

•  x→⁻∞, y→0

•  x→∞, y→⁻∞

Exponential functions are ​ ​ (a)   across the entire domain from left to right.

• increasing, decreasing, or constant

• increasing or decreasing ONLY

• increasing AND decreasing

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?

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

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?