Line connecting the points in the plot function in R [duplicate]

Answer 1

You have to sort the x values:

plot(x, f_x, xlim=range(x), ylim=range(f_x), xlab="x", ylab="y", 
     main = "noise-less data",pch=16)
lines(x[order(x)], f_x[order(x)], xlim=range(x), ylim=range(f_x), pch=16)