Question

Let A = {4,6,8,10} and B = {3,4,5,6,7}. If f: A → B is defined by f(x) = (1/2) x + 1 then represent f by 

(i) an arrow diagram, 

(ii) a set of ordered pairs and, 

(iii) a table.

Answer 1

Given, A = {4, 6, 8, 10}

B = {3, 4, 5, 6, 7}

f(x) = (x/2) + 1

f(4) = (4/2) + 1 = 2 + 1 = 3

f(6) = (6/2) + 1 = 3 + 1 = 4

f(8) = (8/2) + 1 = 4 + 1 = 5

f(10) = (10/2) + 1 = 5 + 1 = 6

(i) an arrow diagram

(ii) a set of ordered pairs 

f = {(4, 3), (6, 4), (8, 5), (10, 6)}

(iii) a table

x	4	6	8	10
f(x)	3	4	5	6