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Even and Odd Function is considered one the most difficult concept.
11 Questions around this concept.
A function from the set of natural numbers to integers defined by
is
The function is
Even function:
If for a function f(x), f(-x) = f(x) then the function is known as even function. Even functions are symmetric about the y axis.
y = x2 y = |x| y = cos(x)
Odd function:
If for a function f(x), f(-x) = - f(x) then the function is known as odd function. Odd functions are symmetric about the origin.
y = sin(x) y = x3
NOTE: We can have functions that are neither even nor odd. Eg, y = x+1
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