The euro was introduced January 1, 1999, with a nominal value close to $1. The formal introduction as circulating currency deadline was February 28, 2002.
The all time high value of the dollar vs. the euro was $1.21, set October 26-27, 2000 (before the euro was fully circulating). The dollar and euro were trading nominally (1 to 1) around November 1, 2002.
The all time low value of the dollar vs. the euro was set April 24 this year - 0.624. The value is now about 0.65 euro.