Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Show that the function f : N → N defined by f(m) = m2 + m + 3 is one-one function - Mathematics

Diagram
Sum

Show that the function f : N → N defined by f(m) = m2 + m + 3 is one-one function

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Solution

N = {1, 2, 3, 4, 5, …..}

f(m) = m2 + m + 3

f(1) = 12 + 1 + 3 = 5

f(2) = 22 + 2 + 3 = 9

f(3) = 3+ 3 + 3 = 15

f(4) = 42 + 4 + 3 = 23

f = {(1, 5) (2, 9) (3, 15) (4, 23)}

From the diagram we can understand different elements in (N) in the domain, there are different images in (N) co-domain.

∴ The function is a one-one function.

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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 1 Relations and Functions
Exercise 1.4 | Q 5 | Page 25
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