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GATE ECE 2016 Set 2 | Question: 3

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As $x$ varies from $-1$ to $+3$, which one of the following describes the behaviour of the function $f(x)=x^{3}-3x^{2}+1?$

  1. $f(x)$ increases monotonically.
  2. $f(x)$ increases, then decreases and increases again.
  3. $f(x)$ decreases, then increases and decreases again.
  4. $f(x)$ increases and then decreases.

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