Understanding the Function a(n) and Its Graph

The video tutorial explains the function a(n), which represents the amount of water in a pool over time. It covers how to read and interpret the graph of a(n), including identifying the axes and tick marks. The tutorial demonstrates how to find specific function values, such as a(2), and how to determine the input n when given a function value like a(n)=20. It concludes with an explanation of the practical domain and range for the function, based on the context of the pool's water level over time.

What does the function a(n) represent in the context of the video?

• The amount of water added to the pool every minute.

• The amount of water remaining in the pool after n minutes.

• The total time taken to fill the pool.

• The rate at which water is drained from the pool.

What is represented along the horizontal axis of the graph?

• The amount of water in gallons.

• The rate of water flow.

• The depth of the pool.

• Time in minutes.

How many gallons does each grid mark represent on the vertical axis?

• 2 gallons

• 10 gallons

• 5 gallons

• 1 gallon

What is the function value a(2) according to the graph?

• 28 gallons

• 30 gallons

• 26 gallons

• 24 gallons

After how many minutes is the pool empty according to the graph?

• 5 minutes

• 7 minutes

• 9 minutes

• 10 minutes

If the function value is 20, what is the corresponding input n?

• 3 minutes

• 4 minutes

• 5 minutes

• 6 minutes

What is the practical domain of the function a(n) in this context?

• n greater than or equal to 1 and less than or equal to 10 minutes

• n greater than or equal to 1 and less than or equal to 9 minutes

• n greater than or equal to 0 and less than or equal to 10 minutes

• n greater than or equal to 0 and less than or equal to 9 minutes

What is the practical range of the function a(n) in this context?

• a(n) greater than or equal to 0 and less than or equal to 30 gallons

• a(n) greater than or equal to 0 and less than or equal to 36 gallons

• a(n) greater than or equal to 5 and less than or equal to 36 gallons

• a(n) greater than or equal to 5 and less than or equal to 30 gallons

What does the practical range of the function a(n) indicate?

• The possible amounts of water in the pool over time.

• The total volume of the pool.

• The time it takes to fill the pool.

• The rate at which water is added to the pool.

What is the initial amount of water in the pool at time zero?

• 36 gallons

• 30 gallons

• 34 gallons

• 32 gallons