Let $f(x)=x^3, x \in[-1,1]$. Then which of the following are correct?

• A

  ' $f$ ' has a minimum at $x=0$
• Correct answer
  B

  ' $f$ ' has a maximum at $x=1$
• Correct answer
  C

  ' $f$ ' is continuous on $[-1,1]$
• Correct answer
  D

  ' $f$ ' is bounded on $[-1,1]$

Hence, the correct answer is options: 'B', 'C', 'D'.