Question 45
Let $f(x)$ be a polynomial with real coefficients such that the inequality
$$
x + 1 \le f(x) \le 3x^2 - 5x + 4
$$
holds for all real numbers $x$. Find all possible values for $f(11)$.
$$
x + 1 \le f(x) \le 3x^2 - 5x + 4
$$
holds for all real numbers $x$. Find all possible values for $f(11)$.