Vertical Line Test Explained

The video tutorial explains the vertical line test, a method to determine if a graph represents a function. It begins with an introduction to the concept, followed by a detailed explanation of what a function is. The tutorial includes examples of graphing to identify functions and demonstrates the application of the vertical line test. It also covers the significance of open and closed circles in graphs, particularly in relation to inequalities. The video concludes with a recap of the key points discussed, emphasizing the importance of the vertical line test in identifying functions.

What is the purpose of the vertical line test?

• To determine if a graph is symmetrical

• To check if a graph represents a function

• To identify the intercepts of a graph

• To find the slope of a line

Which of the following best describes a function?

• A set of points where each y-value has exactly one x-value

• A set of points where y-values can repeat

• A set of points where each x-value has exactly one y-value

• A set of points where x-values can repeat

In a function, what must be true about the x-values?

• They must all be integers

• They must not repeat

• They must all be negative

• They must all be positive

If a set of points includes (1, 5) and (1, 7), is it a function?

• No, because the y-values are the same

• Yes, because the x-values are the same

• No, because the x-values repeat

• Yes, because the y-values are different

What does it mean if a vertical line intersects a graph at more than one point?

• The graph is quadratic

• The graph is linear

• The graph is not a function

• The graph is a function

How can you quickly determine if a graph is a function?

• By checking if it is symmetrical

• By using the vertical line test

• By finding the slope

• By identifying the intercepts

What happens if a vertical line hits a graph twice?

• The graph is quadratic

• The graph is a function

• The graph is not a function

• The graph is linear

What does an open circle on a graph indicate?

• The graph is a function

• The point is not part of the graph

• The graph is not a function

• The point is part of the graph

What does a closed circle on a graph indicate?

• The point is part of the graph

• The graph is a function

• The graph is not a function

• The point is not part of the graph

If a vertical line intersects an open circle on a graph, what should you consider?

• The graph is a function

• The graph is not a function

• The point is not part of the graph

• The point is part of the graph