Identifying Functions from Various Representations

The video tutorial explains how to identify functions from different representations such as tables, sets of points, graphs, and mapping diagrams. It emphasizes the definition of a function, where each x-value is paired with only one y-value. The tutorial provides examples and non-examples for each representation, demonstrating how to determine if a relation is a function. The vertical line test is introduced for graphs, and mapping diagrams are used to visually represent functions.

What is the key characteristic of a function?

• Each y value can be paired with multiple x values.

• Each x value can be paired with multiple y values.

• Each y value can be paired with only one x value.

• Each x value can be paired with only one y value.

In the first table, why is it considered a function?

• Because all y values are the same.

• Because all x values are different.

• Because all x values are the same.

• Because all y values are different.

Why is the second table not considered a function?

• Because it has more y values than x values.

• Because it has more x values than y values.

• Because the same x value is paired with different y values.

• Because the same y value is paired with different x values.

In the first set of points, why is it considered a function?

• Because all y values are the same.

• Because all x values are different.

• Because all y values are different.

• Because all x values are the same.

Why is the second set of points not considered a function?

• Because all y values are the same.

• Because the same x value is paired with different y values.

• Because the same y value is paired with different x values.

• Because all x values are different.

What is the vertical line test used for?

• To determine if a table is a function.

• To determine if a graph is a function.

• To determine if a mapping diagram is a function.

• To determine if a set of points is a function.

In the first graph, why is it considered a function?

• Because the vertical lines touch the graph more than once.

• Because the vertical lines touch the graph twice.

• Because the vertical lines do not touch the graph.

• Because the vertical lines touch the graph only once.

Why is the second graph not considered a function?

• Because the vertical lines touch the graph only once.

• Because the vertical lines do not touch the graph.

• Because the vertical lines touch the graph twice.

• Because the vertical lines touch the graph more than once.

In the first mapping diagram, why is it not considered a function?

• Because the same x value is paired with different y values.

• Because each x value is paired with only one y value.

• Because each y value is paired with only one x value.

• Because the same y value is paired with different x values.

In the second mapping diagram, why is it considered a function?

• Because the same y value is paired with different x values.

• Because the same x value is paired with different y values.

• Because each y value is paired with only one x value.

• Because each x value is paired with only one y value.