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Consider the curves f(x)=x|x|-1 and g(x)= cases 3 x 2 , & x 0 2 x, & x 0 cases Where do the curves intersect?

Options

  1. AAt (2,3) only
  2. BAt (-1,-2) only
  3. CAt (2,3) and (-1,-2)
  4. DNeither at (2,3) nor at (-1,-2)

Correct answer

C. At (2,3) and (-1,-2)

Step-by-step solution

aligned & f(x)=x|x|-1 & f(x)= array ll x^2-1 & x 0 -x^2-1 & x 0 array g(x)= cases 3 x 2 & x 0 2 x & x 0 cases . aligned Hence f(x) and g(x) intersects at (-1,-2) and (2,3) .

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