Exam $3$ Bonus Problem $1(4$ bonus points for Exam $3)($Core Course Outcomes $1$ & $3)$ Recall problem $4$ from exam $3,$ repeated here for convenience:

$"$On Canvas, you will find a Matlab function file process. $p$ that takes as input the variable $x$ and returns as output the result of a complicated process $g(x).$ Copy the file into your working directory and use it as any other Matlab $.$m file. The only difference between $a.$p and $a.$m file is that the source code of the $.p$ file is not visible.

Use a script to find all roots of $g(x)$ in the interval $-10x10$ to a tolerance in function of at least ${10}^{-10}$ using mysecant from problem $3.$ Recall that any $.$m or $.$p function file can be passed as an argument into another function by prefacing the function name by $a$ @$,$ e$.$g$.,$ @ process."

When solving for the root near $x=-5\mathrm{.}65$dots using the secant method with initial guesses of $x^{(-1)}=-6$ and $x^{(0)}=-5$ and $N=30$ maximum iterations $($see posted exam $3$ solution$),$ the root is found for an acceptable tolerance in function of $lo{n}_{OK}=1*{10}^{-14},$ but the mySecant method returns a root of $x=$NaN if $lo{n}_{OK}=1*{10}^{-15}$ is used. Mark all answers that explain this behavior:

truncation errors

round off errors

division by zero in the secant formula

insufficient number of iterations $N$

For credit, your answer must be entirely correct.

Required submission:

$$ Answers submitted to Canvas link Exam $3-$ Bonus Problem $1$;

Any scores shown on Canvas for this problem before the deadline do not reflect whether your answers are correct or not correct;