1.3

Question 1

Function

Answer 1

Rule from a set A to a set B that assigns to each input value in A a unique output value in B.

Question 2

Domain

Answer 2

The set of all input values in A

Question 3

Range

Answer 3

The set of output values in B

Question 4

How to determine in function

Answer 4

1) no ordered pair has the same X and different Y
2) Every element of A is first element of an ordered pair of F.

Question 5

Communitivity

Answer 5

AxB and BxA are NOT communitive

Question 6

Relations

Answer 6

Relation R from A to B is a subset of A x B

Question 7

Relation notation

Answer 7

xRy or (x,y) { R

Question 8

Set A is called the

Answer 8

domain

Question 9

Set B is called the

Answer 9

co-domain

Question 10

Given sets A and B, a relation from A to B is

Answer 10

a subset of the cartesian product AxB

Question 11

A function F from A to B is a relation from A to B that satisfies the following two properties:
a. For every element x of A, there is _______
b. for all elements x in A and y and z in B, if _____ then ______

Answer 11

a. an element y of such that xFy
b. xFy and xFz ; y = z

Question 12

If F is a function from A to B and x is an element of A, then F(x) is ______

Answer 12

the unique element of B that is related to x by F