Chapter 1.1, Problem 66E

To determine

(a)

Whether given function $f(x)=2x-x^2$ is even, odd, or neither.

To determine

(b)

Whether given function $k(w)={(1-w)}^3+{(1+w)}^3$ is even, odd, or neither.

To determine

(c)

Whether given function $f(t)=\frac{1}{t^4+t+1}-\frac{1}{t^4-t+1}$ is even, odd, or neither.