# 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*) = *x ^{2},* f(-

*x*) =

*x*

^{2}

f(*x*) = *x*^{2} is even

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

e.g., f(x) = *x*^{3}, f(-*x*) = (-*x*)^{3} = -*x ^{3}* = -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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