Identifying Functions and Relations in Algebra

What is the primary difference between a function and a relation?

• A relation pairs each domain value with multiple range values.

• A function pairs each domain value with multiple range values.

• A relation pairs each domain value with exactly one range value.

• A function pairs each domain value with exactly one range value.

In a mapping diagram, what does an arrow represent?

• A connection between a domain value and a range value.

• A connection between two range values.

• A connection between a range value and a domain value.

• A connection between two domain values.

When creating a mapping diagram, how should repeated values in the domain or range be handled?

• Write them only once.

• Ignore them.

• Write them in a separate column.

• Write them multiple times.

In a mapping diagram, what does it mean if a domain value has more than one arrow coming out of it?

• It is a function.

• It is not a function.

• It is a special type of function.

• It is an invalid diagram.

Which of the following is true about a function in a mapping diagram?

• Each domain value can have multiple arrows coming out of it.

• Each domain value can have only one arrow coming out of it.

• Each range value can have only one arrow coming out of it.

• Each range value can have multiple arrows coming out of it.

What is the purpose of using a mapping diagram in relation to functions?

• To determine if a function is linear.

• To visually represent the pairing of domain and range values.

• To find the slope of a function.

• To determine if a function is quadratic.

What is the vertical line test used for?

• To determine if a relation is a function using a mapping diagram.

• To determine if a graph represents a function.

• To determine if a function is linear.

• To determine if a function is quadratic.

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

• The graph represents a function.

• The graph does not represent a function.

• The graph is quadratic.

• The graph is linear.

In the vertical line test, what does it indicate if a vertical line intersects the graph at exactly one point?

• The graph is not a function.

• The graph is a function.

• The graph is quadratic.

• The graph is linear.

Which of the following statements is true about the vertical line test?

• It can be used to determine if a function is linear.

• It can be used to determine if a graph represents a function.

• It can be used to determine if a relation is a function using ordered pairs.

• It can be used to determine if a function is quadratic.