Question

A function f is said to be odd function if
​

Answer 1

Answer:

A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.

Answer 2

• Generally functions are divided into two category of useful properties known as odd functions and even functions

• Odd functions are of those functions that become negative of that function when the X value is changed to -X

• Even functions are of those functions that remain Unchanged even if the X value is changed to minus x

• Examples of odd function include sin x, tan x, etc .

sin(-x) = -sinx and tan(-x) = -tanx

• examples of event function include cos x , x^2, etc.

cos(-x) = cos x and (-x)^2 = x^2.

Generally even functions are symmetric about y-axis.