Question

Let \(f:\mathbb{R}\to\mathbb{R}\) be defined by \[ f(x)=x^3-3x+1 \] Then the function \(f\) is:

• A. One-one and onto
• B. One-one but not onto
• C. Onto but not one-one
• D. Neither one-one nor onto

Hint:

For polynomial functions, use derivatives to test one-one nature and end behavior to test onto nature.

Answer 1

The Correct Option is C