The evidence from multiple high-authority sources strongly supports the statement that the U.S. Dollar Index first decreased and then increased following the release of U.S. jobs data. The first part of the statement, that the dollar initially decreased, is directly corroborated by several credible financial news outlets. The Wall Street Journal explicitly reports that the dollar "moved lower immediately following a data release." This is reinforced by a Marketpulse.com analysis linking the dollar's "recent decline to the Non-Farm Payrolls report" and a Forex.com report noting a "bearish bias" on the dollar after the data.The second part of the statement, that the dollar then increased, is also supported. A social media post from GVWire, while low in authority, uses the specific phrase that the dollar "bounced back," which implies an initial drop followed by a recovery. This two-part movement is further supported when reconciling a seemingly contradictory source. A market update from a forecasting service states the dollar "strengthened following" the data. While this appears to conflict with the initial drop, it can be interpreted as describing the net result after the initial dip and subsequent recovery, thereby supporting the "then increased" portion of the claim. In summary, the most authoritative sources confirm the initial decrease, and other sources describe a subsequent strengthening or "bounce back." The combined evidence paints a clear picture of intraday volatility where the dollar first fell and then recovered, making the full statement likely true.