Rodriguez served in the Texas House of Representatives from 1987 to 1997.
In April 1997Rodriguez defeated Juan F. Solis III with 66.7% of the vote to win the 28th district special election to the House of Representatives to fill the remainder of the term of Democratic representative Frank Tejeda who died in January.
Rodriguez was the lead sponsor of the Hispanic Health Improvement Act to expand coverage, reduce disparities and improve the delivery of health care resources among Hispanics.
Rodriguez voted for more foreign workers even though U.S. high tech workers over the age of 50 were suffering 17% unemployment and U.S. firms were laying off thousands of workers at the time.
Rodriguez voted FOR H RES 365, which was brought up and passed in a new form in March of 2002.
Rodriguez was part of a 336-43 majority voting in favor of the four-month extension of Section 245(i).