Develop a function file for the false-position method. The function file will take the function, lower guess for the root, upper guess for the root, acceptable error, and maximum iteration as the input and give the output of the root, function value at the root, approximate relative error, and number of iterations.

Please note that instead of splitting the subinterval into equal halves (bisection), false-position method uses the root of the linear line between (x_l, f(x_l)) and (x_u, f(x_u)) to split into two unequal parts. The root of this linear line is defined as