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SMO 2015 Senior Round 1 Question 8

SMO · SMO 2015 Senior Round 1

Question 8

If $f(x)=2|x^2-1|-x-1$, where $0\le x\le\dfrac32$, find the range of $f(x)$.
  1. $-3\le f(x)\le1$
  2. $-3\le f(x)\le\frac32$
  3. $-2\le f(x)\le1$
  4. $-2\le f(x)\le\frac32$
  5. $-2\le f(x)\le2$