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CAT 2013 | Question: 13

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Consider the following two curves in the $\text{XY}$ plane:

$\\y=2x^3+3x^2+4\: \text{and} \\y=3x^2-2x+8$

Which of the following statements is true for $-3≤x≤2?$

  1. The two curves intersect thrice
  2. The two curves intersect twice
  3. The two curves intersect once
  4. The two curves do not intersect
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