In this question, the root$-$finding of a function is considered. Please refer to the codes provided in the module on CANVAS.

Providing evidence of your approach in a spreadsheet or word document, identify the roots of function:

Complete the following:

Provide a plot of and identify, graphically, the approximate location$($s$)$ of the roots of the function.

Provide analytical solutions for the problem.

Providing screenshots and commentary, carry out an investigation using both the Bisection Method and Newton$-$Raphson Methods. Consider different tolerances $($i$.$e$.,$ Tol $=0\mathrm{.}1,0\mathrm{.}01$ and $0\mathrm{.}001.$ What are the implications of the variations in these values of tolerance?