Task

Create a program that finds and outputs the roots of a given function, range and (if applicable) step width.

The program should identify whether the root is exact or approximate.



For this task, use:      ƒ(x)   =   x3 - 3x2 + 2x 

func f(x) {
    x*x*x - 3*x*x + 2*x
}
 
var step = 0.001
var start = -1
var stop = 3
 
for x in range(start+step, stop, step) {
    static sign = false
    given (var value = f(x)) {
        when (0) {
            say "Root found at #{x}"
        }
        case (sign && ((value > 0) != sign)) {
            say "Root found near #{x}"
        }
    }
    sign = value>0
}