Question

Is the function f(s)=4s32 even, odd or neither?

Answer 1

as a real valued function f(s) is only defined for s>_ 0 , so it's neither odd or even .

As a complex valued function we find:

if s>_ 0 then f(s)>_ 0

if s<_ 0 then:

f(s)= 4 √s ^3 = 4 (I √-s)^3= -4i√-s= -if (-s)

so neither f(-s)= -f(s/ nor f(-s)=f(s)