Sample Methods and Exponential Functions

Quinn recorded his progress bench pressing while training for varsity football. The table shows his results for the past 15 months. Find the logarithmic regression equation of the data:

• y = 188.19 log(1.02)^x

• y = 176.25 + 26.11ln(x)

• y = 188.03 + 4.51Log(x)

• y = -190.78 + 36.73ln(x)

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

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.

Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?

• 1600

• 2

• There is not enough information to tell.