Determine the real roots of $f(x)=-0\mathrm{.}5x^2+2\mathrm{.}5x+4\mathrm{.}5$ :

a$.$ Graphically: Plot the function and eyeball the roots. Plot this in Matlab.

b$.$ Using the quadratic formula: Use the function that you developed in Homework Matlab

Refresher.

c$.$ Using the Bisection method to determine the highest root: Employ initial guesses of $x_l=5$

and $x_4=10.$ Compute and output the value of the root, the relative approximate error

and the relative true error after each iteration.

i$.$ Do this by hand for five iterations.

ii$.$ Write a Matlab script that solves the problem using your own Bisection

function. The Bisection function should allow the input of any function, upper

and lower guesses, number of iterations to perform, and relative approximate

stopping criteria. Conduct $10$ iterations.