**PLEASE HELP ASAP**Which of the following graphs represents the function f(x) = x4 − 2x3 − 9x2 + 2x + 8?

The Function having highest Degree of Four given here is :         [tex]f(x) = x^4 - 2 x^3 - 9 x^2 + 2x + 8?[/tex]As the given function has highest degree of four, it has maximum of four roots.As complex and Irrational root occur in pairs, so There are many possibilities1. Two Complex or Irrational + Two Real2. Four real roots3.All roots are complex or irrationalBy looking at the options described below, it means it has four real roots.It will cut X axis at four points.With the help of Desmos you can directly find the solution of this problem, but without desmos Graphing, we first have to check by Taking different points on the curve whether graph of function described here is correct or not, i.e by method of increasing and decreasing formula of a function.The method to check is If there are two points on the curve i.e [tex](x_{1},y_{1}), (x_{2},y_{2}[/tex]1.  [tex]If ,x_{2} > x_{1} and y_{2} >y_{1}[/tex]  Increasing Function.2.  [tex]If ,x_{2} > x_{1} and y_{2} <y_{1}[/tex]  Decreasing Function.Option (4) is true .