Exponential Growth Functions
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
