Final answer:
Managers in an organization with an innovative culture foster creativity and risk-taking, which aligns with a laissez-faire leadership style, rather than authoritarian or hierarchical approaches.
Step-by-step explanation:
Regarding the managerial function of leading in an organization with an innovative culture, managers typically foster creativity and risk-taking. Innovative cultures thrive on new ideas, experimentation, and the willingness to take calculated risks. Unlike traditional hierarchical structures that may encourage conformity and top-down communication, innovative cultures favor flat structures that promote collaboration and empower individuals at all levels to contribute ideas.
Fostering creativity and risk-taking can lead to breakthrough innovations and advances. Managers in such environments need to balance providing guidance while also allowing autonomy, which aligns more closely with a laissez-faire leadership style. By contrast, in an environment that demands rapid, definitive action or high levels of coordination, an authoritarian leadership style, where communication flows from the top down, may be more appropriate.