Identifying Functions through Mapping Diagrams

The video tutorial focuses on identifying functions using mapping diagrams. It begins with an introduction to the concept of functions, emphasizing that each input must pair with exactly one output. The tutorial then analyzes several mapping diagrams to determine which one does not represent a function, concluding that the diagram where an input maps to multiple outputs is not a function. The answer to the test question is identified as choice D.

What is a function in terms of mapping diagrams?

• A mapping where each output maps to one input

• A mapping where each input maps to multiple outputs

• A mapping where each input maps to exactly one output

• A mapping where outputs are not considered

What is the correct mapping for a function?

• One input to one output

• Multiple inputs to one output

• No specific mapping required

• One input to multiple outputs

Why is the mapping in choice A considered a function?

• Inputs are not considered

• Outputs are not repeated

• Each input maps to exactly one output

• Each input maps to two different outputs

What makes choice B a function?

• It has multiple inputs mapping to one output

• Each output maps to multiple inputs

• Each input maps to exactly one output

• All outputs are unique

In choice C, why does the mapping of multiple outputs to the same input not violate the function definition?

• Because each input still maps to one output

• Because inputs can map to any number of outputs

• Because all outputs need to be unique

• Because the inputs are not considered

Which choice is not a function due to a single input mapping to multiple outputs?

• Choice A

• Choice B

• Choice D

• Choice C

Why is choice D not considered a function?

• It maps multiple inputs to one output

• It maps one input to multiple outputs

• It only has one output

• It has no inputs