Vertical Line Test and Functions

The video tutorial explains how to determine if a graph represents a function using the vertical line test. A graph is a function if a vertical line intersects it at exactly one point anywhere on the graph. Several examples are provided to illustrate graphs that are functions and those that are not, based on the number of intersection points with a vertical line.

What is the primary tool used to determine if a graph is a function?

• Parallel line test

• Horizontal line test

• Vertical line test

• Diagonal line test

What does the vertical line test help to identify?

• The length of a line segment

• The area under a curve

• Whether a graph is a function

• The slope of a line

According to the vertical line test, when is a graph considered a function?

• When a vertical line intersects the graph at exactly two points

• When a vertical line intersects the graph at exactly one point

• When a vertical line does not intersect the graph

• When a vertical line intersects the graph at more than one point

What happens when a vertical line intersects a graph at exactly one point?

• The graph is a line

• The graph is a circle

• The graph is a function

• The graph is not a function

In Example 1, what conclusion is drawn about the graph?

• The graph is a line

• The graph is a function

• The graph is a curve

• The graph is not a function

Which of the following is true for a graph that passes the vertical line test?

• It is a parabola

• It is a circle

• It is not a function

• It is a function

In Example 1, how many points of intersection does the vertical line have with the graph?

• Three

• None

• Two

• One

In Example 2, why is the graph not considered a function?

• The vertical line intersects the graph at more than one point

• The graph has no intersections

• The graph is a straight line

• The graph is a circle

What is the outcome if a vertical line intersects a graph at two points?

• The graph is a point

• The graph is a line

• The graph is not a function

• The graph is a function

In Example 2, what is the key observation about the graph?

• It is a straight line

• It is a function

• It is a curve

• It is not a function