Identifying Functions with Mapping Diagrams

The video tutorial explains how to determine if a mapping diagram represents a function. It reviews the definition of a function, emphasizing that each input must pair with exactly one output. The tutorial analyzes four choices, identifying which diagrams are functions and which are not. Choices A, B, and C are confirmed as functions, while choice D is not, as it maps one input to multiple outputs.

What is the key characteristic of a function in a mapping diagram?

• Each output is paired with exactly one input.

• Each input is paired with exactly one output.

• Each input is paired with multiple outputs.

• Each output is paired with multiple inputs.

In the mapping diagram for choice A, how many outputs does each input have?

• Three outputs

• Two outputs

• Exactly one output

• No outputs

Why is choice B considered a function?

• Each output is paired with exactly one input.

• Each output is paired with multiple inputs.

• Each input has exactly one output.

• Each input has multiple outputs.

In choice C, what is the significance of the output '3' being mapped from two different inputs?

• It means choice C has no inputs.

• It does not affect the function status.

• It means choice C has multiple outputs.

• It means choice C is not a function.

Why is choice D not considered a function?

• Because there are no outputs.

• Because one output is paired with two different inputs.

• Because one input is paired with two different outputs.

• Because all inputs have the same output.