Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Let X = {3, 4, 6, 8}. Determine whether the relation R = {(x, f(x)) | x ∈ X, f(x) = x2 + 1} is a function from X to N? - Mathematics

Sum

Let X = {3, 4, 6, 8}. Determine whether the relation R = {(x, f(x)) | x ∈ X, f(x) = x2 + 1} is a function from X to N?

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Solution

f(x) = x2 + 1

f(3) = 32 + 1 = 9 + 1 = 10

f(4) = 42 + 1 = 16 + 1 = 17

f(6) = 62 + 1 = 36 + 1 = 37

f(8) = 82 + 1 = 64 + 1 = 65

yes, R is a function from X to N

Concept: Functions
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Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 1 Relations and Functions
Exercise 1.3 | Q 2 | Page 13
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