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How do I use specific data points on a graph to determine an equation?
I need to find a function $f(x)$ such that the following data points would fit on it:
$$f(1) = 0 \\
f(2) = 0.5 \\
f(4) = 1.0 \\
f(8) = 1.5 \\
\cdots $$
and so on. So the pattern is every time $x$ ...
