Let A = [9, 10, 11, 12, 13]

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.

Solution:

Given:

A ={9, 10, 11, 12, 13}

f : A → N  be defined by f (n) = the highest prime factor of n.

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

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

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

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

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

The range of $f$ is the set of all $f(n)$, where $n \in A$.

Therefore,

range  of  f  = {3, 5, 11, 13}

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