Understanding Graph Domains and Ranges

The video tutorial explains how to determine the appropriate domain for a linear model representing a store's smartphone inventory. It introduces the problem, describes the graph's axes, and analyzes possible domain options, concluding that the domain is between 0 and 10 on the x-axis.

What is the main task in the problem discussed in the video?

• To find the range of the graph

• To determine the appropriate domain for the model

• To calculate the slope of the graph

• To identify the y-intercept of the graph

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

• The inventory of smartphones

• The number of smartphones sold

• The hours of the day

• The days of the week

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

• The inventory of smartphones

• The days of the week

• The number of smartphones sold

• The hours of the day

Why can't the domain be all integers?

• Because the graph is non-linear

• Because the graph does not extend to all integer values

• Because integers are not suitable for this model

• Because the graph only includes negative integers

Why is x = 14 not part of the domain?

• Because the graph does not extend to x = 14

• Because 14 is not an integer

• Because 14 is not a valid input

• Because 14 is a negative integer

Why can't the domain be all positive integers?

• Because the graph is non-linear

• Because the graph does not extend to all positive integers

• Because positive integers are not suitable for this model

• Because the graph only includes negative integers

Why are negative integers not part of the domain?

• Because negative integers are not suitable for this model

• Because the graph only includes positive integers

• Because the graph does not extend into the negative x range

• Because the graph is non-linear

What is the appropriate domain for the graph model?

• All integers

• All positive integers

• All negative integers

• 0 to 10

What is the significance of the range 0 to 10 in the context of the graph?

• It represents the inventory of smartphones

• It represents the hours during which the store is open

• It represents the number of smartphones sold

• It represents the domain where the graph exists