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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.

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.

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,

A = {9, 10, 11, 12, 13}

f: A→Nis defined as

f(n) = The highest prime factor ofn

Prime factor of 9 = 3

Prime factors of 10 = 2, 5

Prime factor of 11 = 11

Prime factors of 12 = 2, 3

Prime factor of 13 = 13

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

The range offis the set of allf(n), wheren∈A.

∴Range off= {3, 5, 11, 13}

Thanks and Regards
Shaik Aasif
askIITians faculty

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