Q$3$: Root finding

Determine the real root of: $f(x)=x^3-13x-12$

a$.(1$ pt$)$ Graphically. Report your graph and your estimates of the roots from the graph.

b$.(6$ pts$)$ Using matlab or python, write a script to determine one of the roots using the bisection

method. Set $a=2$ a nd $b=7.$ Print the normalized approximate percent error, $lo{n}_a(\%),$ over $5$

iterations. Submit your code, along with a table of results. Your table should have $5$ rows $(1$ for each

itera$-$tion of the bisection method$)$ and $3$ columns: the iteration count, the approximate root at each

iteration, and $lo{n}_a(\%)$ a t each iteration.

c$.(1$ pt$)$ Compare your results of the previous step to the results from M$$ller$\text{'}$s method given in

Example $7\mathrm{.}2$ of the textbook $($also attached on the next page$).$ Report the difference in

convergence between the two methods.

Here in particular, "convergence" means how fast the approximate percent error approaches zero. WRITE THE CODE IN MATLAB