Develop a program that will evaluate a symbolic expression to locate maxima, minima, and points of inflection. The program should determine the number of such points and use branching and looping statements to evaluate each point to classify its type. Display the output as formatted text, as well as showing a plot of the function with the points of interest marked. Test the program for the following function in the range of $2<=$ x $<=2$

$.$ Set the y$-$axis display range to multiples of $5.$

f$($x$)=3$x$514$x$3+7$x$+13$