SUNDAY

Tracy Morgan hosts “The Billboard Music Awards” (8 p.m., ABC), which will feature performances by Prince, Taylor Swift, Bruno Mars, Chris Brown, and others as well as collaborations by will.i.am and Justin Bieber, Nicki Minaj and Lil Wayne, and Christina Aguilera, Pitbull and a “surprise guest.”

“The Simpsons” (8 p.m., Fox) and “Family Guy” (9 p.m., Fox) wrap up the season with hourlong sendoffs. On “The Simpsons,” Homer and pals try to track down Carl, who took off with their lottery winnings, and Seth MacFarlane puts in an appearance… or his voice does, anyway.  On “Family Guy,” Stewie and Brian go to Vegas in a time machine.

Also tonight, “The Celebrity Apprentice” (9 p.m., NBC) winner will be chosen.  ( would’ve put “Winner” in quotes, but since they’re playing for charity…)

MONDAY

New comedy “The Goodwin Games” (8:30 p.m., Fox) stars Scott Foley, Becki Newton and T.J. Miller as siblings competing for an inheritance.

Also premiering: Crime drama “Motive” (10 p.m., ABC). (Because there aren’t enough crime dramas on the air.)

“Mike & Molly” (9:30 p.m., CBS) ends its season with a trip to a Renaissance fair.

Norman takes Emma to the dance on the season-ender of “Bates Motel” (10 p.m., A&E) .

The Laura Linney-helmed “The Big C: Hereafter” (10 p.m., Showtime) wraps up as Cathy gets a visit from her father.

TUESDAY

“Dancing with the Stars” (9 p.m., ABC) announces the winner of its 16th season.

The royals are in town on the season finale of “Grimm” (10 p.m., NBC), which can’t be good for Nick.

WEDNESDAY

On the finale of “Modern Family” (9 p.m., ABC) , Phil’s mom dies and Mitch represents Gloria in a legal matter. Also ending the season are “The Middle” (8 p.m., ABC), “Criminal Minds” (9 p.m., CBS), “Law and Order: SVU” (9 p.m., NBC), “Chicago Fire” (10 p.m., NBC) and  “Nashville” (10 p.m., ABC)

THURSDAY

New comedy “Save Me” (8 p.m., NBC) stars Anne Heche as a woman who becomes a prophet after a near-death experience.

Employees pick who gets fired on new reality show  “Does Someone Have to Go?” (9 p.m., Fox)

“Rookie Blue” (10 p.m., ABC) kicks off its fourth season as Andy and Nick disappear while undercover.

— Heather Chavez