Functions and Relations

Question 1

Relations

Answer 1

Any set of ordered pairs

Question 2

Domain

Answer 2

The set of all x values of the ordered pairs (x,y) that make up a relation

Question 3

Range

Answer 3

The set of y values of the ordered pairs (x,y) that make up a relation

Question 4

Function

Answer 4

a relation in which the set of ordered pairs (x,y) have each x-coordinated paired to a unique y-coordinate

Question 5

Restricted domain

Answer 5

A subset of a function’s maximal domain, often due to practical limitations on the independent variable in modelling situations

Question 6

one-to-one correspondence

Answer 6

where each x value is paired to a unique y value

Question 7

Many-to-one correspondence

Answer 7

where more than one x value may be paired to the same y-value

Question 8

one-to-many correspondence

Answer 8

where each x-value may be paired with more than one y-value

Question 9

Many-to-many correspondence

Answer 9

where more than one x vlaue may be paired to more than on y value