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IKMC 2021 - Grades 11-12 - Set 2 - Self-study Question 30

IKMC · IKMC 2021 - Grades 11-12 - Set 2 - Self-study

Question 30

Let $M(k)=\max_{-1\le x\le1}|4x^2-4x+k|$, where k is real. What is the least possible value of M(k)?
  1. 4
  2. $9/2$
  3. 5
  4. $11/2$
  5. 8