Question

Let \( f : \mathbb{R} \to \mathbb{R} \), \( f(x) = \frac{2x^2 - 3x + 2}{3x^2 + x + 3} \), then \( f(x) \) is

• A. one-one and onto
• B. one-one and into
• C. many-one and into
• D. many-one and onto

Hint:

Any continuous function \(f: \mathbb{R} \to \mathbb{R}\) that has the same horizontal asymptote at both \(\pm \infty\) is guaranteed to be many-one.

Answer 1

The Correct Option is C