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IKMC 2027 - Grades 11-12 - Self-study SET 8 - Thematic Batch 3 Question 8

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 8 - Thematic Batch 3

Question 8

Let f : R → R be f(x)=|x+1|+|x+3|. Consider: (i) f is increasing on all positive real numbers; (ii) f is decreasing on all negative real numbers; (iii) f is constant on some interval longer than 1; (iv) f is positive for every x. How many statements are true?

Question illustration
  1. 4
  2. 3
  3. 2
  4. 1
  5. 0