Throughout this unit, you applied a series of steps to assist you with accurately sketching a polynomial function. Develop your own cubic polynomial function and accurately sketch it by applying the processes you learned in this unit.

Instructions:

• To begin, please come up with an equation of a cubic function of the formf(x)=ax^3+bx^2+cx+d
• Show your work and all the steps to determine:
  • the y-intercept and any x-intercepts (you may need to apply technology to assist you with this)
  • the critical point(s) of your function
  • the intervals of increase/decrease
  • the point(s) of inflection
  • the intervals of concavity
• On a piece of graphing paper, sketch your function and clearly indicate each of the key features you calculated in the previous step