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

Q12  Let A = {9,10,11,12,13} and let f : A\rightarrow N be defined by f (n) = the highest prime
factor of n. Find the range of f.

Answers (1)

best_answer

It is given that 
 A = {9,10,11,12,13}
And 
f : A → N be defined by f(n) = the highest prime factor of n.
Now,
Prime factor of 9 = 3

Prime factor of 10 = 2,5

Prime factor of 11 = 11

Prime factor of 12 = 2,3

Prime factor of 13 = 13

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

Hence,

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

As the range of f is the set of all f(n), where n \ \epsilon \ A

Therefore, the range of f is: {3, 5, 11, 13}.

Posted by

Gautam harsolia

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