Identifying Functions and Mappings

This video tutorial explains how to identify functions from sets of values, tables, and mappings. It emphasizes that in a function, each x-value is paired with exactly one y-value. The video provides examples of sets, tables, and mappings, demonstrating how to determine if they represent functions by checking for x-values paired with more than one y-value. The tutorial covers the process of examining ordered pairs, table entries, and mapping arrows to identify functions, highlighting the importance of ensuring each x-value corresponds to a single y-value.

What is the main characteristic of a function in terms of x and y values?

• Each y-value is paired with exactly one x-value.

• Each x-value is paired with exactly one y-value.

• Each y-value is paired with multiple x-values.

• Each x-value is paired with multiple y-values.

What is the first step in identifying a function from a set of values?

• Assume it is a function.

• Check for unique y-values.

• Check for unique x-values.

• Assume it is not a function.

In a set of ordered pairs, what indicates that the set is not a function?

• An x-value is paired with more than one y-value.

• All y-values are unique.

• A y-value is paired with more than one x-value.

• All x-values are unique.

In a function, what is the relationship between x and y values?

• Each y-value can have multiple x-values.

• Each x-value can have multiple y-values.

• Each x-value has exactly one y-value.

• Each y-value has exactly one x-value.

What is the primary method to identify a function from a set of ordered pairs?

• Check if each y-value is paired with exactly one x-value.

• Check if each x-value is unique.

• Check if each x-value is paired with exactly one y-value.

• Check if each y-value is unique.

If you find an x-value paired with two different y-values, what can you conclude?

• The set is a function.

• The set is not a function.

• The set is incomplete.

• The set is ambiguous.

What should you assume about a set until proven otherwise?

• It is not a function.

• It is a function.

• It is incomplete.

• It is ambiguous.

How do you identify a function from a table?

• Check if each x-value is paired with multiple y-values.

• Check if each y-value is paired with exactly one x-value.

• Check if each y-value is paired with multiple x-values.

• Check if each x-value is paired with exactly one y-value.

What is a key feature of a function when examining a table?

• Each x-value is paired with multiple y-values.

• Each y-value is paired with multiple x-values.

• Each y-value is paired with exactly one x-value.

• Each x-value is paired with exactly one y-value.

What indicates that a table is not a function?

• An x-value is paired with more than one y-value.

• All y-values are unique.

• A y-value is paired with more than one x-value.

• All x-values are unique.