Answer:
Neither even nor odd
Step-by-step explanation:
If f(x) = f(- x) then f(x) is even
If f(- x) = - f(x) then f(x) is odd
Given f(x) = x³ - x² + 4x + 2, then
f(- x) = (- x)³ - (- x)² + 4(- x) + 2 = - x³ - x² - 4x + 2
Since f(x) ≠ f(- x) then f(x) is not even
- f(x) = - (x³ - x² + 4x + 2) = - x³ + x² - 4x - 2
Since f(- x) ≠ - f(x) then f(x) is not odd
Thus f(x) is neither even nor odd
