4.1 Cubic Graphs

• Cubic Function

  $f(x) =$$ax^3 +$$bx^2 +$$cx +$$d$
• Positive cubic graph

  
• Negative cubic graph

  
• 3 solutions

  All of them are different from each other

  
• 1 solutions

  All of the solutions are the same

  
• 2 solutions

  There is a repeated route (one of the solutions are repeated and so are only counted once). This is where the graph touches the x-axis and then bounces away from it, instead of passing through.