Exponentials Unit Test Prep

Is this exponential growth or decay?

• Growth

• Decay

In an exponential function, what's another word or expression that the 'a' value represents? 

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• GROWTH OR DECAY FACTOR

What's the 'a' value of this exponential table.?

• 0

• 240

• 1

• 180

Does the table represent a linear or exponential function? Write the function. 
*show your work on your paper*

• linear:
  y = -60x + 240

• linear:
  y = .75x + 240

• exponential:
  y = 240(.75)^x

• exponential: 
  y = .75(240)^x

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?

Evan made a fresh pot of coffee then measured its temperature in 3-minute intervals over a period of 15 minutes, as shown in the table. Use your exponential model to determine the appropriate temperature after 30 minutes.
*Show work on your paper*

• 38.68 degrees

• 107.89 degrees

• 70.4 degrees

• 113.57 degrees

Which of the following functions is represented by this graph? 

• f(x)=2(1.2)^x

• f(x)=2(0.75)^x

• f(x)=6(0.75)^x

• f(x)= −2(0.75)^x

Write the equation that represents the table below (this question is not going to be multiple choice on the test, so make sure you know how to do it by hand with showing all work).

• y=1/2(4)^x

• y=2(4)^x

• y=4(2)^x

• y=4(1/2)^x

What is the equation of this table?

• y=3(5)^x

• y=3(1/5)^x

• y=5(3)^x

• y=5(1/3)^x

Which function represents the table of values? 

• f(x) = 4x

• f(x) = x³

• f(x) = 4^x

• f(x) = 4^x-1