Write a user-defined function that calculates the maximum (or minimum) of a quadratic equation of the form:
f(x) = ax2 + bx + c
Name the function [x, y, w] = maxormin (a, b, c). The input arguments are the coefficients a, b, and c. The output arguments are x, the coordinate of the maximum (or minimum); y, the maximum (or minimum) value; and w, which is equal to 1 if y is a maximum and equal to 2 if y is a minimum.
Use the function to determine the maximum or minimum of the following functions:
(a) f(x) = 3x2 – 7x + 14
(b) f(x) = - 5x2 -llx + 15