Sample Methods and Exponential Functions

Is the table linear, exponential, or quadratic?

• Linear

• Exponential

• Quadratic

• none of these

Given the table, determine the equation of the function. 

• y = 4(4)^x

• y = 4(¼)^x

• y = 4(x-0)² + 4

• y = 2(x-1)² + 16

Which statements describe the value of the car as a function of x, its age in years? Check all that apply.

• The relationship is quadratic.

• The relationship is exponential.

• The domain is {x| x < 0}.

• The range is {V | 0 < V < 20,000}.

• The value, V, is represented by the equation V = 20,000(0.9)^x.

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 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

• 800

• 0.95

• 2000

• decay

• growth

• 5%

• 95%

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?

Solve for x:

• 1

• 2

• .5

• 4

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.<\/p>

Create a function that can be used to find y<\/em>, the mass of the substance in grams remaining after x<\/em> hours.<\/p>

Enter your answer in the space provided.<\/p>

Mathematical Equivalence

ON

Tags

A1.5.9.C