Iterating a Quadratic

★ 8/10functions Quadratic Equations Monotonicity Polynomials Discriminant

Problem

Let $f(x) = ax^2 + 2x + 1$ . If

f(f(x)) \geqslant 0 \qquad \text{for all } x \in \mathbb{R},

find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	8/10
Topics	functions, Quadratic Equations, Monotonicity, Polynomials, Discriminant

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