Question

WHAT IS EVEN FUNCTIONS

Answer 1

An even function occurs when f(-x) = f(x)

e.g. if f(x) = x^2 substitute x = -x then f(-x) = (x)^2 = x^2

so f(-x) = f(x)

an odd function f(-x) = -f(x) e.g if f(x) = x^3 sub in x = -x f(-x) = (-x)^3 = -x^3

so f(-x) = -f(x)

sometimes functions are neither

e.g. f(x) x^2 + x sub x = -x f(-x) = (-x)^2 + (-x) = x^2 - x which is neither odd nor even

Answer 2

THNX

Answer 3

even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. Let f(x) be a real-valued function of a real variable. Then f is even if the following equation holds for all x in the domain of f:
f(x)=f(-x)

Answer 4

in other words... even functions have a line of symmetry about the y axis.... odd functions have rotational symmetry about the origin