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

Correct answer: (f) is onto because it is continuous and unbounded in both directions

Step 1: This is a continuous odd-degree polynomial. Step 2: As (x\to\infty), the value goes to (\infty), and as (x\to-\infty), it goes to (-\infty), so every real value is attained. Step 3: Do not be confused by turning points; end behavior is very useful for onto property.