Yes, tire inflation does affect battery range. In fact, dissipated energy due to rolling resistance is 4 times greater for electric cars than for internal combustion engine (ICE) vehicles. To measure this impact, ExxonMobil performed in-depth, in-use tests and determined that proper air pressure can extend battery range by 3 to 7%. Because an electric car has a much more efficient powertrain, any losses induced by underinflated tires will probably have a bigger impact on the energy efficiency of the vehicle and, therefore, on the range of its battery.