IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3 Question 16

A polynomial P (x)=ax²+bx+c has the following property: for every real y₀ there is a real x₀ such that[P (x₀)]²=P (y₀). Which set below can be its range?



Editorial note: More than one printed assertion is true; select all correct choices.