Odd and Even Functions

Let f(x) be real valued and differentiable function on R such that f(x+y)=(f(x)+f(y))/(1-f(x)*f(y))f(x) is Odd function Even function Odd and even function simultaneously Neither even nor odd

Properties of odd and even function

Odd & Even Function

Exercise Questions|Number Of Function|Odd & Even Function|Exercise Questions|OMR

Use the idea of odd and even function to evaluate int_(-1)^1 x(1-x^2) dx

Let f(x)=e^(e^(|x|sgnx))a n dg(x)=e^(e^(|x|sgnx)),x in R , where { } and [ ] denote the fractional and integral part functions, respectively. Also, h(x)=log(f(x))+log(g(x))dot Then for real x , h(x) is (a)an odd function (b)an even function (c)neither an odd nor an even function (d)both odd and even function

Questions Based On Different Types Of Mappings|Odd & Even Function|Exercise Questions|OMR

Illustration Based Upon odd || Even Function

Categorize the following functions as odd/even/neither odd nor even functions. Justify your answer : (a)f(x)=x^(3)

Odd and Even Extension | Equal function