Exponential Growth Functions

Which is the graph of f(x) = 0.5(4)x?

1st graph

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

1st graph

What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the nearest tenth.

2.5

The function f(x) = 2 • 5x 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? X Y -1 1/10 0 1/2 1 5/2 2 25/2

5

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