The rate of change is dependent on the # of days since the genesis block. It’s possible that the # of days from genesis and the rate of change function will not stay intact. There will be a breakpoint. X days after genesis will follow a new function.
Example
For x = 0 -> 10,000 f(x) = x^5.7
For x = 10,001 -> ♾️ f(x) = x^8