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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

Determine whether the following function is odd or even? f(x) = x + x2 - Business Mathematics and Statistics

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Question

Determine whether the following function is odd or even?

f(x) = x + x2

Sum

Solution

f(x) = x + x2

f(-x) = (-x) + (-x)2 = -x + x2

Since f(-x) ≠ f(x), f(-x) ≠ -f(x).

∴ f(x) is neither odd nor even function.

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Functions and Their Graphs
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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 11 TN Board
Chapter 5 Differential Calculus
Exercise 5.1 | Q 1. (v) | Page 105
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