They then moved to the Dominican Republic, Canada, and New Jersey before living in the Miami, Florida area, where their son was born on April 16, 1991.

[4] The Houston Astros selected Rodriguez in the 48th round of the 2009 Major League Baseball Draft after his high school graduation, but he did not sign.

[6] His career earned run average (ERA) at Florida (2.19) in 86 appearances is the lowest since the introduction of aluminum bats in 1974.

[5] After six appearances with the Loons, he was promoted to the Chattanooga Lookouts of the Class AA Southern League,[9] where he pitched in 15 games with a 1.32 ERA.

After a rocky April,[13] he became a trusted member of the Dodgers' bullpen,[14] though he faltered in September and October under the heavy workload of an MLB season.

[18] On July 30, 2015, in a three-team trade, the Atlanta Braves acquired Rodriguez, Héctor Olivera, minor league pitcher Zachary Bird, and a competitive balance draft pick for the 2016 MLB Draft, while the Dodgers acquired Mat Latos, Michael Morse, Bronson Arroyo, Alex Wood, Jim Johnson, Luis Avilán, and José Peraza, and the Miami Marlins acquired minor league pitchers Victor Araujo, Jeff Brigham, and Kevin Guzman.

He made 9 appearances for the rookie–level Gulf Coast League Orioles, registering a 7.50 ERA with 10 strikeouts in 12.0 innings of work.

[23] In 28 games split between the Double–A Amarillo Sod Poodles and Triple–A El Paso Chihuahuas, he compiled a 4–1 record and 3.35 ERA with 43 strikeouts across 48+1⁄3 innings pitched.

[24] Rodriguez has an unusual and deceptive delivery in which, from the batter's perspective, he hides the ball behind his head before slinging it towards the plate.