Which answer describes the function f(x)=2x3−x2 ?
odd
even
neither
For which intervals is the function increasing?
(1, 2)
(−∞, 0)
(0, 1)
(2, ∞)
If even....then f(x) = f(-x)
So f(-x) = 2(-x)^3 - (-x)^2 = -2x^3 - x^2 ...this isn't equal to f(x)
If odd....then -f(x) = f(-x)
-f(x) = - [ 2 x^3 - x^2 ] = -2x^2 + x^2 ...and this isn't equal to f(-x)
So....neither
Increasing on (-inf, 0) and (1, 2)
+595 
