Exponential Function Vocabulary

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

• Input

• Rate of change

• Y-intercept

• Output

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

What type of pattern do exponential functions have?

• Adds or subtracts by the same number every time

• Multiplies or divides by the same number every time

• Square roots all the inputs

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

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?

​ (a)  

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

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Write the function for the following table:

• f(x)= 1(2)^x

• f(x)= 2(1)^x

• f(x) = 2x+1

• f(x)= x+2

Which table represents the following equation?

• 
• 
• 
• 

Write an equations that models the data shown.