Question

Determine algebraically whether the function is even odd or neither even nor odd. F(x)= -4^3 +4x

Answer 1

Even function :-     f(x) = f(-x)

Odd function:-       f(-x) = -f(x)


F(x)   = -4^3 + 4x

-F(x) =  -(-4^3 + 4x)  = 4^3 - 4x  


F(-x)  = -4^3 + 4(-x)  =   -4^3 - 4x