[?] Styling a cube function graphic?

Could anybody help me? I want to insert arrowheads in the extremes of a cube function graph in order to indicate that function values continue to infinity positive and negative?. I show the comands and graphic I have. Thank you.

This is a way:

Plot[f[x] = x^3, {x, -3, 3}, 
  PlotStyle -> 
   Directive[RGBColor[0.22, 0.24, 1.], AbsoluteThickness[1.945], 
    Arrowheads[{-.1, .1}]], 
  GridLines -> {Range[-3, 3, 1], Range[-27, 27, 6]}, 
  Ticks -> {Range[-3, 3, 1], Range[-27, 27, 6]}] /. Line -> Arrow

Yeah! It Works! Thank you very much. I will chek it out in other functions graphs.