Suggestion

Into how many regions is the plane divided when the following equations are graphed, not considering the axes?

\[y=x^3\]

\[y=x^4\]

\[y=x^5\]

  1. \(6\), (b) \(7\), (c) \(8\), (d) \(9\), (e) \(10\).

Can we sketch these curves as carefully as we can?

Special care will be needed on the intervals \(-1<x<0\), and \(0<x<1\).