question

which graph shows exponential growth?

answer

second one

question

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

answer

f(x) = 4(3)^x

question

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

answer

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

question

The function f(x) = 2 β’ 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?

answer

5

question

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

answer

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

question

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

answer

f(x) = 500(2)x

question

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

answer

5

question

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.)

answer

y = 18(1.15)x

question

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.)

answer

y = 32,000(1.08)x

question

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

answer

f(x) = 5(4)x

question

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

answer

fourth

question

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?

answer

y = 500(1.05)x

question

Which table represents exponential growth?

answer

second

question

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

answer

first

question

Which graph shows exponential growth?

answer

second

question

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

answer

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

question

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

answer

first

question

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

answer

f(x) = 4(3)x

question

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

answer

f(x) = 5(4)x

question

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

answer

f(x) = 500(2)x

question

What is the multiplicative rate of change of the function?

answer

2/3

question

Which is the graph of f(x) = 100(0.7)x?

answer

first

question

Which is the graph of f(x) = 4(1/2)^x?

answer

second

question

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

answer

f(x) = 1,200(0.97)x

question

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?

answer

third

question

Which graph represents exponential decay?

answer

third

question

A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?

answer

f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

question

What is the multiplicative rate of change of the function?

answer

3/4

question

What is the multiplicative rate of change of the function?

answer

1/5

question

Which is the graph of f(x) = 3(2/3)^x?

answer

fourth

question

What is the multiplicative rate of change for the exponential function f(x) = 2(5/2)^-x?

answer

0.4

question

Which graph represents exponential decay?

answer

third

question

Which conclusion about f(x) and g(x) can be drawn from the table?

answer

The functions f(x) and g(x) are reflections over the y-axis.

question

What is the common ratio of the sequence?
-2, 6, -18, 54,...

answer

-3

question

lena is asked to write an explicit formula for the graphed geometric sequence. What value, written as a decimal, should Lena use as the common ratio?

answer

2.5

question

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

answer

f(x) = 64(3/4)^x-1

question

640, 160, 40, 10, ...
The domain will be the set of natural numbers.

answer

The graph will show exponential decay.

question

The points shown on the graph represent the numbers in a geometric sequence. What is the initial value of the sequence?

answer

2

question

Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343, ...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

answer

1.75