Understanding Domains in Graphs

The video tutorial explains how Dakota built a linear graph to model the number of video games he played this year, with a constant rate of three games per month. The x-axis represents time in months, and the y-axis represents the number of games played. The tutorial focuses on determining the appropriate domain for the model, emphasizing that the domain refers to the possible x-values. It evaluates different answer choices, concluding that the correct domain is from 0 to 12, representing the months of the current year.

What is the constant rate at which Dakota plays video games each month?

• Four games per month

• Three games per month

• Two games per month

• Five games per month

What does the x-axis represent in Dakota's graph?

• Years

• Number of video games

• Days

• Time in months

What does the y-axis represent in Dakota's graph?

• Time in months

• Number of video games played

• Number of players

• Number of hours played

What is the domain in the context of Dakota's graph?

• The slope of the graph

• The range of the graph

• The set of possible x-values

• The set of possible y-values

Which of the following is a possible domain for Dakota's graph?

• All integers

• All negative integers

• 0 to 12

• All positive integers

Why can't the domain include all positive integers?

• Because it includes future years

• Because it includes negative numbers

• Because it includes decimals

• Because it includes fractions

Why is the domain limited to 0 to 12?

• Because the graph is circular

• Because Dakota plays 12 games a year

• Because the graph only models this year

• Because the graph is non-linear

What is the significance of the number 12 in the domain?

• It represents the number of games played

• It represents the number of months in a year

• It represents the number of players

• It represents the number of levels in a game

Why are negative integers not included in the domain?

• Because they represent current months

• Because they represent past months

• Because they represent future years

• Because they represent future months

What is the only correct domain for Dakota's graph?

• 0 to 12

• All positive integers

• All integers

• All negative integers