Writing and Interpreting Exponential Functions

Which statement about the graph of f(x) = 20(3)^x is true?

• The y-intercept is (0 , 3)

• The asymptote is at y = 20

• The growth factor is 3

• This is a linear function

Which statement about the graph of f(x) = 12(1.75)^x is true?

• The y-intercept is (0 , 12)

• The asymptote is at y = 1.75

• The decay factor is 12

• The function is decreasing

Which statement about the graph of f(x) = 100(0.75)^x is true?

• The y-intercept is (100 , 0)

• There is no asymptote

• The decay factor is 0.75

• The function is increasing

Which statement about the graph of f(x) = 15000(0.55)^x is true?

• The initial value is 15000

• The asymptote is at y = 15000

• The growth factor is 15000

• The function is increasing

Which statement about the graph of f(x) = 350(1.08)^x is true?

• The x-intercept is at (0 , 350)

• The asymptote is at y = 350

• The decay factor is 1.08

• The function is increasing

• The initial balance of the account decreases at a rate of 55% each year

• The balance in the account increases at a rate of 55% each year

• The initial balance of the account was 1,550

• The balance in the account at the end of one year is $850

• The interest the savings account earned in the first year

• The annual interest rate of the savings account

• The number of years the savings account has earned interest

• The initial amount deposited into the savings account

In 1900, the total number of metric tons of copper produced in the world was 575,000. Every year since 1900, the total number of metric tons of copper produced has increased by 4.36% over the amount of the previous year. Which function models the total number of metric tons of copper produced in the year that is x years after 1900?

A certain type of bacteria doubles in number every hour. Which function can be used to find the number of bacteria present at the end of h hours if there were initially 7 of these bacteria.

• 7(½)^h

• 7(2)^h

• 7 + (2)^h

You buy a computer for $2100.00. The computer decreases by 50% annually. What is the initial value?

• $2100.00

• $1500.00

• $1800.00

• $2000.00