unit test

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

-3

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

0.4

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.

1.75

What is the multiplicative rate of change of the function?

1/5

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

2

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?

2.5

What is the multiplicative rate of change of the function?

2/3

What is the multiplicative rate of change of the function?

3/4

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

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

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

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

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

The graph will show exponential decay.

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

third

Which graph represents exponential decay?

third

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.)

y = 18(1.15)x

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.)

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?

y = 500(1.05)x

Which table represents exponential growth?

second

which graph shows exponential growth?

second one

Which graph shows exponential growth?

second

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

second

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?

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

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

f(x) = 4(3)^x

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

f(x) = 4(3)x

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

f(x) = 5(4)x

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

f(x) = 500(2)x

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?

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

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?

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

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

first

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

first

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

first

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

fourth

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

fourth