Understanding Relations and Functions

What is the relationship between elements in set A and set B in the given example?

• Elements in set A are the square of elements in set B

• Elements in set B are the square of elements in set A

• Elements in set B are double the elements in set A

• Elements in set A are double the elements in set B

Which of the following is NOT a method to express relations?

• Arrow diagram

• Ordered pair

• Cartesian graph

• Venn diagram

In a Cartesian graph, which axis represents the first set?

• Diagonal axis

• Vertical axis

• Horizontal axis

• None of the above

What is the domain in a relation?

• The set of all elements in the first set

• The set of all elements in the second set

• The set of all possible objects

• The set of all possible images

What is the codomain in a relation?

• The set of all elements in the second set

• The set of all possible objects

• The set of all possible images

• The set of all elements in the first set

Which elements are considered images in a relation?

• All elements in the domain

• All elements in the codomain

• Elements in the codomain that have been mapped

• Elements in the domain

What is the range in a relation?

• The subset of the domain that contains all objects

• The set of all elements in the domain

• The set of all elements in the codomain

• The subset of the codomain that contains all images

In the given example, what is the image of the object '2'?

• 2

• 3

• 5

• 4

If an object maps onto itself, what does it mean?

• The image has no object

• The object has no image

• The object and image are the same

• The object and image are different

What are the images of the object '5' in the given ordered pairs?

• 8 and 10

• 5 and 6

• 6 and 8

• 10 and 11