Let A= 7,8,9,10,11,12,13,14,15,16 and let f: A N be defined by f(x)= the highest prime factor of x . How many elements are there in the range of f ?

Step-by-step solution

aligned & f(x)= the highest prime factor of x & f(7)=7, f(8)=2, f(9)=3, f(10)=5, f(11)=11 & f(12)=3, f(14)=7, f(15)=5, f(16)=2, f(13)=13 & Range = 2,3,5,7,11,13 aligned