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Math Assignment Help With Even And Odd Functions

9.6 Even and Odd functions:

A function f(x) is said to be even if f(-x) = f(x)

Example: f(x) = x2, f(-x) = x2

f(x) = x2 is even

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A function f(x) is said to be odd if f(-x) = -f(x)

e.g., f(x) = x3, f(-x) = (-x)3 = -x3 = -f(x)

f(x) = cos x is even for f(-x) = cos (-x) = cos q = f(x)

f(x) = x cos x is odd for f(-x) = (-x) cos (-x) = -x cos x = -f(x)

f(x) = sin x is odd whereas f(x) = x sin x is even.

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