Are there such things as cold water dolphins?

my wife and i were at the tail end of a flight and taxiing to the terminal at the airport. the plane at the terminal next to us was for frontier airlines and it had a dolphin painted on the tail wing (i guess that’s what it is called). we were debating where we thought frontier flew to and i suggested alaska. she laughed at me and said there were no dolphins along the coast of alaska. i had no idea so i made up a story about there being cold water dolphins, while she insists that dolphins are only found in warm water, temperate oceans. so what’s the deal?