Question

Let A = (9, 10, 11, 12, 13} and let f:A→N be defined by f(n) = the highest prime factor of n. Find the range of f.

Answer 1

Given f(n) = the highest prime factor of n.

f(9) = the highest prime factor of 9 = 3 

f(10) = the highest prime factor of 10 = 5 

f(11) = the highest prime factor of 11 = 11

f(12) = the highest prime factor of 12 = 3

f(13) = the highest prime factor of 13 = 13

Range of f ={3,5,11,13}