The word panorama refers to a wide, unobstructed view of an extensive area. In the context of the sentence, The panorama from their porch encompassed a large part of the Rocky Mountains,
the best substitution is unbroken view over a large area, which maintains the meaning of the original sentence. Let's explore why the other options do not fit:
- Cooking utensil: An object used in the preparation of food; this has no relevance to views or landscapes.
- TV screen: A device for displaying visual media; it doesn't represent a natural, expansive view.
- Small patch of land: Suggests a limited, confined area, contrary to the wide expanse denoted by panorama.
Conclusion: The correct choice is unbroken view over a large area, as it effectively conveys the same broad and expansive visual concept as a panorama.