Chapter 8, Problem 17P

Write a user-defined function that calculates the maximum (or minimum) of a quadratic equation of the form:

$f(x)=a{x}^2+bx+c$

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) $f(x)=3x^2-7x+14$ (b) $f(x)=-5x^2-11x+15$