{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

2

A part of an exponential function is graphed on the grid.
Select TWO correct answers. Which statements are true about the domain and range of the part of the function shown?

The range is the set of all real numbers.

The range is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

The domain is the set of all real numbers.

The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.

The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.

1

Which statement about p(x)=-7(4)^x is true?

The domain is all real numbers greater than or equal to 4.

The range is all real numbers less than 0.

The domain is all real numbers less than or equal to 0.

The range is all real numbers.

1

A part of exponential function f is graphed on the grid.
Which inequality best represents the domain of the part shown?

x > 1

y > -2

x > -2

y > 1

1

An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years: A(t) = 1,550(1.02)^t
Which statement best interprets one value in the function?

The amount of money in the investment account increases 102% each year.

The amount of money in the investment account decreases 2% each year.

The initial deposit in the investment account was $1,581.

The initial deposit in the investment account was $1,550.

1

The function w(t) = 270(1.029)t can be used to estimate the number of whales in the North Atlantic Ocean at the end of t years. What does 1.029 represent in this function?

The growth factor of the number of whales in the North Atlantic Ocean.

The number of whales in the North Atlantic Ocean at the end of the first year.

The initial number of whales in the North Atlantic Ocean.

The decay factor of the number of whales in the North Atlantic Ocean.

1

An insect population after x months can be modeled by the function g(x) = 18(1.3)x. Which statement is the best interpretation of one of the values in this function?

The insect population increased by 13 insects each month.

The insect population increased at a rate of 30% each month.

The insect population decreased by 13 insects each month.

The insect population decreased at a rate of 30% each month.

1

The table represents some points on the graph of an exponential function.
Which function represents the relation shown in the table?

g(x) = 32\left(\frac{2}{3}\right)^x

g(x) = 32\left(\frac{3}{2}\right)^x

g(x) = 48\left(\frac{3}{2}\right)^x

g(x) = 48\left(\frac{2}{3}\right)^x

1

A company currently has 500 employees. The number of employees is expected to grow at a rate of 2% each year.

Write an exponential function to model the number of employees in the company, y, after x years.

Enter your answer in the box provided.

y =

1

Researchers studied the population of a town over time and modeled the data using an exponential function.
The initial estimated population was 48,000.
After the first year, the population of the town was 50,400.
If the population of the town continues to grow at this rate each year, which function can be used to model the population x years after the researchers began their study?

1

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%.
Which function can be used to model the number of students participating in sports after x years?

f(x) = 317(4)^x

f(x) = 1.04x + 317

f(x) = 317(1.04)^x

f(x) = 4x + 317

1

An exponential function is graphed on the grid.
Which function is best represented by the graph?

p(x) = 2(0.5)^x

p(x) = (0.25)^x

p(x) = (25)^x

p(x) = (1.25)^x

1

The table shows the value in dollars of a motorcycle at the end of x years.
Which exponential function models this situation?

v(x) = 8,100(0.9)^x

v(x) = 9,000(1.1)^x

v(x) = 9,000(0.9)^x

v(x) = 8,100(1.1)^x

1

The graph shows the number of game consoles sold in millions since 2009.
Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

g(x) = 6.12(25.5)^x

g(x) = 0.6(25.5)^x

g(x) = 25.5(6.12)^x

g(x) = 25.5(0.6)^x

1

The table represents some points on the graph of an exponential function.
Which function represents this relationship?

f(x) = 16 \left(\frac{3}{2}\right)^x

f(x) = 16 \left(\frac{2}{3}\right)^x

f(x) = 36 \left(\frac{2}{3}\right)^x

f(x) = 36 \left(\frac{3}{2}\right)^x

1

Which statement about the graph of y = 16(0.5)^x is NOT true?

The y-intercept is (0, 16).

The graph has a horizontal asymptote at y = 0.

The x-intercept is (0.5, 0).

The graph is decreasing for all values of x.

1

An exponential function has these characteristics:
The y-intercept is 2.
The function increases at a rate of 50%.
Which graph best represents this function? 📷

null

2

What is the equation of the asymptote of the graph of the function y = 16(0.75)^x?

Move the correct answer to each box. Not all answers will be used.

=

Mmuae Afoforo a Wobɛpaw:

0

x

y

16

12

0.75

1

A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.
Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

The y-intercept of the graph is 650.

The y-intercept of the graph is 455.

The graph has a vertical asymptote at x = 0.

The graph has a horizontal asymptote at y = 30.

2

What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)^x?

1

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year. Which graph best models this situation?

null

2

What is the value of the y-intercept of the graph of g(x) = 73 \cdot \left(\frac{4}{5}\right)^x?

1

Which graph best represents y = 5\left(\frac{1}{3}\right)^x?

null

1

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data.
Which function best models the data?

\,\, r(x) = 1.09(223.06)^x

\,\, r(x) = 0.92(2,232.91)^x

\,\, r(x) = 2,232.91(0.92)^x

\,\, r(x) = 223.06(1.09)^x

1

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.
Which function best models the data?

n(x) = 25,956.80(1.08)^x

n(x) = 46,797.94(0.93)^x

n(x) = 0.93(46,797.94)^x

n(x) = 1.08(25,956.80)^x

Exponential Functions STAAR Released Items

Exponential Functions STAAR Released Items

A part of an exponential function is graphed on the grid.Select TWO correct answers. Which statements are true about the domain and range of the part of the function shown?

Which statement about p(x)=-7(4)^x is true?

A part of exponential function f is graphed on the grid.Which inequality best represents the domain of the part shown?

An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years: A(t) = 1,550(1.02)^tWhich statement best interprets one value in the function?

The function w(t) = 270(1.029)t can be used to estimate the number of whales in the North Atlantic Ocean at the end of t years. What does 1.029 represent in this function?

An insect population after x months can be modeled by the function g(x) = 18(1.3)x. Which statement is the best interpretation of one of the values in this function?

The table represents some points on the graph of an exponential function.Which function represents the relation shown in the table?

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%.Which function can be used to model the number of students participating in sports after x years?

An exponential function is graphed on the grid. Which function is best represented by the graph?

The table shows the value in dollars of a motorcycle at the end of x years.Which exponential function models this situation?

The graph shows the number of game consoles sold in millions since 2009.Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

The table represents some points on the graph of an exponential function.Which function represents this relationship?

Which statement about the graph of y = 16(0.5)^x is NOT true?

An exponential function has these characteristics:The y-intercept is 2.The function increases at a rate of 50%.Which graph best represents this function? 📷

A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)^x?

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year. Which graph best models this situation?

What is the value of the y-intercept of the graph of g(x) = 73 \cdot \left(\frac{4}{5}\right)^x?

Which graph best represents y = 5\left(\frac{1}{3}\right)^x?

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data.Which function best models the data?

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.Which function best models the data?

A part of an exponential function is graphed on the grid.Select TWO correct answers. Which statements are true about the domain and range of the part of the function shown?

Which statement about p(x)=-7(4)^x is true?

A part of exponential function f is graphed on the grid.Which inequality best represents the domain of the part shown?

An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years: A(t) = 1,550(1.02)^tWhich statement best interprets one value in the function?

The function w(t) = 270(1.029)t can be used to estimate the number of whales in the North Atlantic Ocean at the end of t years. What does 1.029 represent in this function?

An insect population after x months can be modeled by the function g(x) = 18(1.3)x. Which statement is the best interpretation of one of the values in this function?

The table represents some points on the graph of an exponential function.Which function represents the relation shown in the table?

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%.Which function can be used to model the number of students participating in sports after x years?

An exponential function is graphed on the grid. Which function is best represented by the graph?

The table shows the value in dollars of a motorcycle at the end of x years.Which exponential function models this situation?

The graph shows the number of game consoles sold in millions since 2009.Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

The table represents some points on the graph of an exponential function.Which function represents this relationship?

Which statement about the graph of y = 16(0.5)^x is NOT true?

An exponential function has these characteristics:The y-intercept is 2.The function increases at a rate of 50%.Which graph best represents this function? 📷

A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)^x?

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year. Which graph best models this situation?

What is the value of the y-intercept of the graph of g(x) = 73 \cdot \left(\frac{4}{5}\right)^x?

Which graph best represents y = 5\left(\frac{1}{3}\right)^x?

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data.Which function best models the data?

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.Which function best models the data?

A part of an exponential function is graphed on the grid.
Select TWO correct answers. Which statements are true about the domain and range of the part of the function shown?

A part of exponential function f is graphed on the grid.
Which inequality best represents the domain of the part shown?

An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years: A(t) = 1,550(1.02)^t
Which statement best interprets one value in the function?

The table represents some points on the graph of an exponential function.
Which function represents the relation shown in the table?

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%.
Which function can be used to model the number of students participating in sports after x years?

An exponential function is graphed on the grid.
Which function is best represented by the graph?

The table shows the value in dollars of a motorcycle at the end of x years.
Which exponential function models this situation?

The graph shows the number of game consoles sold in millions since 2009.
Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

The table represents some points on the graph of an exponential function.
Which function represents this relationship?

An exponential function has these characteristics:
The y-intercept is 2.
The function increases at a rate of 50%.
Which graph best represents this function? 📷

A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.
Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data.
Which function best models the data?

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.
Which function best models the data?

A part of an exponential function is graphed on the grid.
Select TWO correct answers. Which statements are true about the domain and range of the part of the function shown?

A part of exponential function f is graphed on the grid.
Which inequality best represents the domain of the part shown?

An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years: A(t) = 1,550(1.02)^t
Which statement best interprets one value in the function?

The table represents some points on the graph of an exponential function.
Which function represents the relation shown in the table?

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%.
Which function can be used to model the number of students participating in sports after x years?

An exponential function is graphed on the grid.
Which function is best represented by the graph?

The table shows the value in dollars of a motorcycle at the end of x years.
Which exponential function models this situation?

The graph shows the number of game consoles sold in millions since 2009.
Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

The table represents some points on the graph of an exponential function.
Which function represents this relationship?

An exponential function has these characteristics:
The y-intercept is 2.
The function increases at a rate of 50%.
Which graph best represents this function? 📷

A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.
Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data.
Which function best models the data?

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.
Which function best models the data?