Final answer:
The Age of Oil had the most lasting impact on Texas politically, as the discovery and production of oil transformed the state's economy and political landscape. The correct answer is 4. Age of Oil.
Step-by-step explanation:
The time period that had the most lasting impact on Texas politically was the Age of Oil. This period brought about significant changes to the state's economy, infrastructure, and political landscape.
The discovery and booming production of oil in Texas during the early 20th century led to the rise of powerful oil magnates and transformed the state into an energy powerhouse.
The wealth and influence of the oil industry played a significant role in shaping Texas politics, with oil companies wielding considerable political power and influencing policies and legislation.
This era transformed Texas from a largely agricultural state into an economic powerhouse through the oil industry, which also had profound political implications. Examples include the rise of influential oil tycoons who shaped state politics and the increased national significance of Texas due to its energy resources.