Exponential Review

• 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.

• The y-intercept is -7.

Tags

A.9A

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

Tags

9A

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 initial number of whales in the North Atlantic Ocean

• The decay 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 growth factor of the number of whales in the North Atlantic Ocean

Tags

9B

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 decreased by 13 insects each month.

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

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

Tags

9B

Researchers studied the population of a town over time and modeled the data using an exponential.

* 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?

Tags

9C

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?

Tags

9C

An exponential function is graphed on the grid.

Which function is best represented by the graph?

• p(x) = (0.25)^x

• p(x) = 20(0.5)^x

• p(x) = (1.25)^x

• p(x) = (25)^x

Tags

9C

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) = 0.6(25.5)^x

• g(x) = 25.5(0.6)^x

• g(x) = 6.12(25.5)^x

• g(x) = 25.5(6.12)^x

Tags

9C

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

Tags

9C

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

​ (a)   =​ (b)  

• 0.75
• x
• y
• 0
• 12
• 16

Tags

9D