Introduction Exponential Functions

Determine if the table represents linear or Exponential Function.

• Linear

• Exponential

• Neither

In an exponential function, what does the 'a' represent?

• Y-INTERCEPT (also the initial amount)

• GROWTH OR DECAY FACTOR

In an exponential function, what does the 'b' represent?

• Y-INTERCEPT (also the initial amount)

• GROWTH OR DECAY FACTOR

What is the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

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 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?

​ (a)  

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?

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

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.

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.5.9.C