Master how to determine the domain and range from mapping

The video tutorial explains how to determine the domain and range from a set of mappings. It covers the definition of domain and range, emphasizing that the domain is the set of all input (X) values and the range is the set of all output (Y) values. The tutorial provides examples to illustrate how to identify domain and range, ensuring that each input maps uniquely to one output, thus forming a function. It also discusses cases where mappings do not form a function and concludes with a summary of the key points.

What is the domain in the context of mappings?

• The set of all Y values

• The set of all input values

• The set of all output values

• The set of all Z values

Why is it important for each input to map to a unique output in a function?

• To ensure the function is linear

• To allow multiple outputs for each input

• To simplify the function's graph

• To maintain the function's integrity

In the example provided, what is the range of the function?

• 8, 9, 10, 11, 12

• 0, 1, 7, 8, 9, 11

• 4, -2, 3, 8, 11

• 1, 2, 3

Which of the following mappings is not a function?

• Inputs and outputs are equal

• All inputs map to the same output

• An input maps to multiple outputs

• Each input maps to a unique output

What happens when an input maps to more than one output?

• It is not considered a function

• It is still considered a function

• It becomes a linear function

• It becomes a quadratic function