If (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^3-3x+1), choose the correct statement about (f).

Correct answer: Onto

Step 1: This is an odd-degree polynomial with positive leading coefficient. Step 2: As (x\to\infty), the value goes to (\infty), and as (x\to-\infty), it goes to (-\infty), so every real target value is obtained. Step 3: In hard questions, first check the end behavior of odd-degree polynomials.