Exponential Growth Functions

The function f(x) = 2•5^x can be used to represent the curve through the points (1,10), (2, 50), and (3,250). What is the multiplicative rate of change of the function?

5

What is the multiplicative rate of change of the function described in the table?

5

Ramon is graphing the function f(x) = 3(4)^x. He begins by plotting the initial value. Which graph represents his initial step?

Graph 1.

What is the graph of f(x) = 5(2)^x?

Graph 1.

Which graph shows exponential growth?

Graph 2.

Which is the graph of f(x) = 1/4(4)^x?

Graph 4.

What are the domain and range of the function on the graph?

The domain includes all real numbers, and the range is y > 0.

A limited-edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.)

y = 18(1.15)^x

The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)^x

The value of a collector's item is expected to increase exponentially each year. The item is purchased for $500. After 2 years, the item is worth $551.25. Which equation represents y, the value of the item after x years?

y = 500(1.05)^x