Functions (Part 1A) - Terminology

Set A is called (a)  

• a domain
• a range
• an element
• an image

A relation is ...
(a)  

• an association between the elements between two sets.
• an image of any element in the domain.
• a range of elements.
• the rule of a function.

A function ...
(a)  

• is a relation where each and every element of the domain is mapped to exactly one element in the range.
• is a relation where each and every element of the domain is mapped to each and every element in the range.
• is a relation where exactly one element of the domain is mapped to exactly one element in the range.
• is a relation where each and every element of the range is mapped to exactly one element in the domain

Which of the following is a one-to-one relation?

• 
• 
• 
• 

Which of the following is a many-to-one relation?

• 
• 
• 
• 

What is this relation?

• one-to-one
• one-to-many
• many-to-one
• many-to-many

What is this relation?

• one-to-one
• one-to-many
• many-to-one
• many-to-many

To define any function, we need ...

• domain and range.
• rule and domain.
• rule and range.
• rule, domain and range.

Which of the following statement(s) is/are true about this function?

• -5 is mapped to -10

• f(3)=6

• 4 is the image of 2 under f

• f(1) = 2

• The range of f = {4, 6, 10}

Which is the correct interval notation for the domain of this function?

• ( -2, 5 ]

• ( -2, 5 )

• [ -2, 5 )

• [ -2, 5 ]