Answer:
The first sentence in the list of revisions is the correct sentence on the list. From cooking to working out, having a pastime can improve your health.
Step-by-step explanation:
This sentence has a prepositional phrase to begin with, "From cooking to working out," that is correctly followed by a comma which is obligatory to some style guides and authoritative sites like the Purdue Writing Lab because it is more than four words long. The main clause is "having a pastime can improve your health." This could function as a complete sentence on its own. The other options using the semicolon and the conjunction basically treat the prepositional phrase as if it where an independent clause as well, which it is not.