Is it possible to use Wolfram Alpha to make something like this into a graph and have it display the proper function?

In that case, how would I syntactically write it in Wolfram?
Is it possible to use Wolfram Alpha to make something like this into a graph and have it display the proper function?

In that case, how would I syntactically write it in Wolfram?
If you just want to plot the points, then you can use
If you want to try and approximate the function, then you can use
Of course, this isn't going to give you the exact function that you're looking for every time (this happens to be a nice example), but it will give an approximate polynomial based upon the data that you feed in.