Define a function by looking at its graph

Question

I have a set of ordered pairs of points from $\mathbb{R}^2$,and I need to define a function based on the graph of those points. The problem is that the function does not look like a usual function(i.e. a exponential or log function or the quadratic and so on). What options do I have? Here is the points that I have: (1526, 6.40)
(1316, 8.80)
(2272, 16.0)
(1926, 15.6)
(2756, 31.4)
(2040, 21.8)
(3198, 38.4)
(5296, 87.0)
(3622, 65.0)
(2512, 45.2)
(2958, 51.4)
(2126, 62.0).