Which of the following statements is true regarding the first recorded rodeos?

The statement regarding the first recorded rodeos being held in several locations across the U.S. is accurate as these events emerged as shows of skill for cowboys in the late 1800s. The origins of rodeo can be traced back to various ranching traditions, where different regions showcased their unique ranching skills through competitions. Notably, places like Prescott, Arizona, and Rapid City, South Dakota, are known for hosting some of the earliest rodeos, contributing to the widespread development of rodeo culture across different states.

The other options do not capture the historical context of rodeos accurately. While horse racing and cattle herding were certainly components of the events, the first rodeos were not limited to just one aspect, such as racing or herding, reflecting a broader range of cowboy skills. Furthermore, these events were indeed documented, with formal records showcasing their significance and popularity as they began to evolve into the sport we know today.