Answer
odd
Work Step by Step
We know that if a function is odd, then $f(-x)=-f(x).$
We know that if a function is even, then $f(-x)=f(x).$
Hence we plug in $-x$ to see what happens.
$f(-x)=4(-x)^3
\\f(-x)=4\cdot(-x^3)
\\f(-x)=-4x^3
\\f(-x)=-f(x)$
Therefore the function is odd.
