Which phrase represents an example of open-ended inquiry?

The phrase "How would your life change if you started exercising?" is an example of open-ended inquiry because it invites a detailed, thoughtful response rather than a simple yes or no answer. This type of inquiry encourages the individual to reflect on their personal experiences, feelings, and aspirations related to exercise, fostering a deeper conversation. It allows for exploration of thoughts and feelings, which is essential in coaching and facilitating personal growth.

In contrast, the other phrases tend to elicit closed responses that don't encourage elaboration. Asking about a favorite exercise or whether someone likes exercising allows for straightforward answers without delving into the reasons or implications of their preferences. Similarly, inquiring whether exercising is good for you leads to a factual response rather than a personal exploration. Open-ended questions, like the one correctly identified, are more effective in promoting reflection and dialogue in coaching contexts.