Understanding Functions in Mappings

The video tutorial explains how to determine if a mapping represents a function. It defines a function as a relation where each input has exactly one output. The tutorial analyzes five mapping examples, identifying which ones are functions based on whether each input has a single output. It emphasizes that if an input has multiple outputs, the relation is not a function. The key takeaway is understanding the concept of functions in terms of input-output relationships.

What is a function in terms of mappings?

• A relation where inputs and outputs are the same

• A relation where each input has multiple outputs

• A relation where each input has exactly one output

• A relation where outputs are not related to inputs

In the first mapping example, why is it considered a function?

• Each input has multiple outputs

• Each input has exactly one output

• Each output is the same

• Each output has multiple inputs

In the second mapping example, what is significant about the outputs?

• Some inputs share the same output

• They are all different

• Each input has multiple outputs

• They are all the same

Why is the third mapping example not a function?

• All inputs have the same output

• Each input has exactly one output

• The input of five has two outputs

• The outputs are not related to inputs

In the fourth mapping example, what is true about the outputs?

• The outputs are unrelated to inputs

• All inputs have different outputs

• Each input has exactly one output

• Each input has multiple outputs

In the fifth mapping example, why is it not a function?

• The input of three has multiple outputs

• Each input has exactly one output

• All inputs have the same output

• The outputs are unrelated to inputs

What is the key indicator that a mapping is not a function?

• An input has more than one output

• Multiple inputs have the same output

• Inputs and outputs are unrelated

• All outputs are the same

How can you visually identify a function in a mapping diagram?

• Each input has exactly one arrow

• Each input has multiple arrows

• Arrows are not needed

• All arrows point to the same output

What happens if two inputs share the same output in a function?

• It is not a function

• It is still a function

• The outputs must be different

• The inputs must be the same