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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. - CBSE (Arts) Class 11 - Mathematics

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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

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

f: A → N is defined as

f(n) = The highest prime factor of n

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 of f is the set of all f(n), where n ∈ A.

∴Range of f = {3, 5, 11, 13}

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 2: Relations and Functions
Ex. 2.40 | Q: 12 | Page no. 47

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Solution 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. Concept: Functions.
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