Determining if a Relation is a Function or Not

This lesson teaches how to identify functions by analyzing mappings, T charts, ordered pairs, and graphs. It explains that functions are special relations where each domain element maps to exactly one range element. The lesson covers common misconceptions, such as the uniqueness of range values, and introduces the vertical line test for graph analysis.

What is a key characteristic of a function in terms of domain and range elements?

• Each domain element is matched to exactly one range element.

• Each range element is matched to exactly one domain element.

• Each range element is matched to multiple domain elements.

• Each domain element can be matched to multiple range elements.

In a mapping, if a domain element is paired with two different range elements, what does this indicate?

• It is a function.

• It is a many-to-one function.

• It is not a function.

• It is a one-to-one function.

Which of the following is true about range values in a function?

• Range values must be greater than domain values.

• Range values must be less than domain values.

• Range values can be repeated.

• All range values must be unique.

What does the vertical line test help determine about a graph?

• If the graph is a one-to-one function.

• If the graph is a linear function.

• If the graph is a quadratic function.

• If the graph represents a function.

When using ordered pairs, what indicates that the set does not represent a function?

• All domain elements are unique.

• A domain element is paired with different range elements.

• All range elements are unique.

• A range element is paired with different domain elements.