Understanding Graph Domains and Ranges

The video tutorial explains how to determine the domain and range of a graph and assess if it represents a function. The domain is the set of all possible x-values, which is from negative infinity to 15. The range is the set of all possible y-values, represented by all real numbers. The video also demonstrates the vertical line test to check if the graph is a function, concluding that it is not, as some x-values have multiple y-values.

What is the domain of a graph?

• The set of all possible x-values

• The set of all possible z-values

• The set of all possible points

• The set of all possible y-values

What is the maximum x-value in the given graph?

• 25

• 20

• 15

• 10

How is the domain expressed in interval notation for the given graph?

• From -infinity to infinity

• From -infinity to 15 inclusive

• From -15 to 15 inclusive

• From 0 to 15 inclusive

What is the domain of the graph in the video?

• From 0 to infinity

• From 0 to 15

• From -infinity to 15

• From -infinity to 10

What does the range of a graph represent?

• The set of all possible x-values

• The set of all possible y-values

• The set of all possible z-values

• The set of all possible points

What is the range of the graph in interval notation?

• From 0 to infinity

• From -infinity to 15

• From 0 to 15

• From -infinity to infinity

What is the interval notation for all real numbers?

• From 0 to 15

• From -infinity to 0

• From 0 to infinity

• From -infinity to infinity

What is the range of the graph in the video?

• From 0 to infinity

• From -infinity to 15

• From -infinity to infinity

• From 0 to 15

What test is used to determine if a graph is a function?

• Parallel line test

• Diagonal line test

• Vertical line test

• Horizontal line test

What does it mean if a vertical line crosses a graph more than once?

• The graph is a function

• The graph is not a function

• The graph is a curve

• The graph is a line