Question

Let A = {6, 9,15,18, 21}; B = {1, 2, 4, 5, 6} and f: A → B be defined by f(x) = (x - 3)/3 Represent f by, 

(i) an arrow diagram, 

(ii) a set of ordered pairs, 

(iii) a table, 

(iv) a graph.

Answer 1

Given, A = {6, 9, 15, 18, 21}, B = {1, 2, 4, 5, 6}

f(x) = (x - 3)/3

f(6) = (6 - 3)/3 = 3/3 = 1

f(9) = (9 - 3)/3 = 6/3 = 2

f(15) = (15 - 3)/3 = 12/3 = 4

f(18) = (18 - 3)/3 = 1/3 = 5

f(21) = (21 - 3)/3 = 18/3 = 6

(i) an arrow diagram

(ii) a set of ordered pairs

f = {(6,1), (9, 2), (15, 4), (18, 5), (21,6)}

(iii) a table

x	6	9	15	18	21
f(x)	1	2	4	5	6

(iv) a graph