Chapter 4, Problem 25P

The graph of the function $f(x)=a{x}^4+b{x}^3+c{x}^2+dx+e$ passes through the points (-2.5, -62), (-1.5, -7.2), (-0.5, 8.3), (1, 3.7), and (3, 45.7). Determine the constants a, c, d, and e. (Write a system of five equations with four unknowns, and use MATLAB to solve the equations.)