How to identify inflection points from polynomial regression

Question

This is my data:

dat <- structure(list(Year = c(1998, 1999, 2000, 2001, 2002, 2003, 2004, 
2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015