f(x)=x²-x-12

Complete the following:

Provide a plot of f (x) 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 = 0.1, 0.01 and 0.001. What are the implications of the variations in these values

of tolerance?