Study Guide for Exponential Functions

16^x-7+5=24

• 9.6

• 8.062

• 8

• 7.5

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,223.09

• $15,000.00

• $31,500.29

• $280,500.86

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?

• between 1 and two years

• more than 5 years

• less than a year

• between 3 and 4 years

What is the domain of the function shown?

• All real numbers

• All real numbers greater than 1

Which represents exponential decay?

• A

• B

• C

• D

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

What is the range of the function shown?

• All real numbers

• All real numbers greater than 1