Exponential Growth Functions Answers

Several ordered pairs from a continuous exponential function are shown in the table.

On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points (negative 1, 0.8), (0, 2), (1, 5), (2, 12.5).

Which best describes the graph of the function f(x) = 4(1.5)x?

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

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

Which graph shows exponential growth?

A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the domain and range of the new function compare to the domain and range of the original function? Check all that apply.The range stays the same. The range becomes y > 2.The domain stays the same. The domain becomes x > 2.The range becomes y ≥ 2.The domain becomes x ≥ 2.

An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.