F(x)=x^3-x^2+4x+2. is this even, odd or neither? (solve algebraically. will mark brainliest :)

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

it is a horizontal line.