Brittney Griner added 17 points for fifth-seeded Phoenix (21-14). Taurasi made six 3-pointers, helping the Mercury go 13 of 29 from long range.
Phoenix closed the first quarter by making seven straight field goals and Taurasi capped the first-half scoring with a 3-pointer for a 53-49 advantage. Phoenix opened a double-digit lead early in the third and outscored Dallas 26-15 in the frame.
Skylar Diggins-Smith scored 23 points for No. 8 seed Dallas (15-20). Elizabeth Cambage had 22 points, 12 rebounds and six assists in her playoff debut.
The game was moved to Arizona State’s Wells Fargo Arena due to a scheduling conflict at the Mercury’s regular home court.
The Associated Press contributed to this report.