Understanding the Function a(n) and Its Graph

Understanding the Function a(n) and Its Graph

Assessment

Interactive Video

Mathematics, Science

6th - 8th Grade

Practice Problem

Hard

Created by

Jackson Turner

FREE Resource

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.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2 gallons

10 gallons

5 gallons

1 gallon

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

28 gallons

30 gallons

26 gallons

24 gallons

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5 minutes

7 minutes

9 minutes

10 minutes

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3 minutes

4 minutes

5 minutes

6 minutes

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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