Exponential Growth Functions

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

5

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

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

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

a

Which equation represents an exponential function that passes through the point (2, 36)?

a f(x) = 4(3)x

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

a https://media.education2020.com/evresources/3109/3109-07/3109-07-01/3109-07-01-assessment/3109-07-01-11a.png

Which statements are true about exponential functions? Check all that apply.

- The domain is all real numbers. - The input to an exponential function is the exponent. - The base represents the multiplicative rate of change.

What are the domain and range of the function on the graph? https://media.education2020.com/evresources/3109/3109-07/3109-07-01/3109-07-01-assessment/3109-07-01-14.png

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

Several ordered pairs from a continuous exponential function are shown in the table. What are the domain and range of the function?

The domain is the set of real numbers, and the range is y > 0.

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

a

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.)

a 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?

b y = 500(1.05)x

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

d

Keshawn is asked to compare and contrast the domain and range for the two functions. f(x) = 5x g(x) = 5x

- The domain of both functions is all real numbers. - The range of g(x) is y > 0.

Which graph shows exponential growth?

b https://media.education2020.com/evresources/3109/3109-07/3109-07-01/3109-07-01-assessment/3109-07-01-01b.png

Which equation represents an exponential function that passes through the point (2, 80)?

d f(x) = 5(4)x

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah's account, y, after x years?

d y = 360(1.03)x


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