Final answer:
The Federal Trade Commission (FTC) is the correct answer, as it is tasked with preventing anticompetitive and deceptive business practices.
Step-by-step explanation:
The federal agency responsible for prohibiting companies from coordinating to increase market control using false and deceptive trade practices is the Federal Trade Commission (FTC). Established in 1914, the FTC's mission includes preventing anticompetitive, deceptive, and unfair business practices and supporting informed consumer choices and public understanding of the competitive process.
The FTC is unique as it holds both consumer protection and competition jurisdiction across broad sectors of the economy, which allows it to enforce policies like the Sherman Antitrust Act. This agency plays a critical role in maintaining market integrity without unnecessarily burdening legitimate businesses. It accomplishes this through a combination of law enforcement, policy development, research tools, and educational programs tailored to consumers and businesses in a rapidly evolving marketplace.