X - x^3: Even or Odd? Video Lecture | Sets and Functions - JEE

determine whether the function f of X
equals X minus X cube where X is a real
number is even odd or neither pause the
video and give this problem a try
let's walk through the solution the
answer to this problem is that f of X is
an odd function to check whether the
given function is odd or even first we
need to determine F of negative x for
that we will substitute negative x in
place of X doing this we get F of
negative x equals negative X minus cube
of negative x this equals negative x
plus X cube factoring out the negative
sign we can write f of negative x equals
negative of X minus X cubed which equals
negative of f of X since f of negative x
equals negative of f of X the given
function is odd it can be seen that the
graph of this function is symmetric
about the origin