exponential growth functions.

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

f (x) = 5 (4)^x

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

A. the domain of both functions is all real numbers. F. the range of g (x) 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. )

A. y=18 (1.15)^x

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

D.

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

B. the graph passes through the point (0,4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

Which table represents exponential growth?

B. x= 1,2,3,4 y= 2,4,8,16

Which equation represents an exponential function with an initial value of 500?

C. f (x)= 500 (2)^x

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. (-1,0.8)(0,2)(1,5)(2,12.5)

2.5

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

A.

what is the rate of change of the function described in the table? x= -1,0,1,2,3 y= 1/10, 1/2, 5/2, 25/2, 125/2

B. 5

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)= 0.5 (4)^x ?

A.

an object is dropped from a building and allowed to freefall to the ground. the height of the object over time is shown in the table. ( for reference h(t)= 144-16^2 )

D. the rate of change increases over time. the object drops 16 feet in the first second, but 80 feet in the last second.

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

A. f (x)= 4 (3)^x

A function of the form f (x) = ab^x 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.

A. the range stays the same. C. the domain stays the same.

Geraldine is asked to explain the limits on the range of an exponential equation using the function f (x)=2^x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.

D. the conclusion is incorrect because the range is limited to the set of positive real numbers.

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

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

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 Josiahs account, y, after x years?

D. y = 360 (1.03)^x