Introduction of Exponential Functions

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)= 1/3x + 27

• f(x)= 3x+27

• f(x)= 243(3)^x

• f(x) = 27(1/3)^x

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

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Does the following equation represent an exponential growth or decay function? f(x) = 34(0.05)^x

• Growth because 34 is greater than 1

• Growth because 0.05 is between 0 and 1

• Decay because 34 is greater than 1

• Decay because 0.05 is between 0 and 1

What is the decay rate as a percent?

• 75%

• 0.75%

• 750%

• .075%

What is the growth rate as a percent?

• 1.25%

• 25%

• 75%

• .25%

What is the growth rate as a percent?

• 50%

• .5%

• 5%

• .05%

The equation A = 1300(1.02)^x is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation?

• 0.02% decay

• 0.02% growth

• 2% decay

• 2% growth

Milton has his money invested in a stock portfolio. The value, v(x), of his portfolio can be modeled with the function v(x) = 30,000(0.78)x , where x is the number of years since he made his investment. Which statement describes the rate of change of the value of his portfolio?

• It decreases 78% per year.

• It decreases 22% per year.

• It increases 78% per year.

• It increases 22% per year.