Function Characteristics and Tests

The video tutorial explains the concept of functions, focusing on the vertical line test to determine if a graph represents a function. It provides examples of graphs and tables, illustrating how to identify functions and non-functions. The video concludes with a summary of key points.

What is the vertical line test used for?

• To determine if a graph is a straight line

• To check if a graph represents a function

• To find the slope of a graph

• To identify the domain of a function

Why does a sideways parabola not represent a function?

• It has no y-intercepts

• It has no x-intercepts

• It fails the horizontal line test

• It fails the vertical line test

In a table, what indicates that y is not a function of x?

• All x-values are different

• An x-value has multiple y-values

• All y-values are the same

• The table has more than five rows

Which of the following tables represents y as a function of x?

• Table with x-values: 1, 2, 2, 4, 5

• Table with x-values: 6, 7, 8, 9, 10

• Table with x-values: 3, 3, 5, 7, 9

• Table with x-values: 0, 2, 5, 7, 11

What does it mean if a graph passes the vertical line test?

• The graph is a circle

• The graph is a function

• The graph is a line

• The graph is a parabola

How can you tell if a graph does not represent a function?

• It has a single y-value for each x-value

• It has a curve

• It has multiple y-values for a single x-value

• It is a straight line

Which graph would fail the vertical line test?

• A straight line

• A circle

• A sine wave

• A parabola opening upwards

What is the key feature of a function in terms of x and y values?

• Each x-value has a unique y-value

• All x-values are positive

• All y-values are negative

• Each y-value has a unique x-value

Which of the following is true for a function?

• It can have multiple y-values for one x-value

• It can have multiple x-values for one y-value

• It can have the same x-value with different y-values

• It can have the same y-value with different x-values

What should you do if you have questions about the video content?

• Rewatch the video

• Leave a comment with your question

• Search online for answers

• Ignore the question