"In this video, learn how the intelligent heating and cooling system in your i3 keeps the battery within ideal temperature range for consistent energy efficiency and range performance."

Outside ambient temperatures do impact range, but the effect is not the same for all of the electric cars on the market.

For example, the BMW i3, with liquid cooling a cooling system of inert gas refrigerant (R134a), and "intelligent heating" should fare better over a wider spread of temperature fluctuations than the air-cooled Nissan LEAF.

Additionally, most electric cars with liquid heating/cooling can be preconditioned so that cabin temps are too your liking prior to departure.  Preconditioning typically uses grid power to achieve a comfortable cabin temp, which can save on battery usage as you disconnect and drive on down the road.

Hat tip to franky_b for clarification on cooling system!