How to determine if a set of points is a function, onto, one to one, domain, range

The video tutorial explains function notation, focusing on how to determine if a set of points is a function. It covers the concepts of domain and range, and how each element in the domain should map to exactly one element in the range to qualify as a function. The tutorial also discusses the characteristics of onto and one-to-one functions, providing examples to illustrate these concepts.

What is the domain of a function?

• The set of x-coordinates

• The set of all possible outputs

• The set of all possible inputs and outputs

• The set of y-coordinates

Which of the following conditions must be met for a set of points to be considered a function?

• Each element in the domain maps to exactly one element in the range

• Each element in the range maps to exactly one element in the domain

• Each element in the range maps to multiple elements in the domain

• Each element in the domain maps to multiple elements in the range

What makes a function 'onto'?

• Every element in the range maps to multiple elements in the domain

• Every element in the domain maps to multiple elements in the range

• Every element in the range is mapped from the domain

• Every element in the domain maps to a unique element in the range

In a one-to-one function, what is true about the mapping?

• Each element in the domain maps to multiple elements in the range

• Each element in the range maps to multiple elements in the domain

• Each element in the range maps uniquely to an element in the domain

• Each element in the domain maps uniquely to an element in the range

If two different domain values map to the same range value, what type of function is it?

• Many-to-one function

• Not a function

• One-to-one function

• Onto function