Final answer:
The statement is true. 'To take advantage of the sun’s heat' is an infinitive phrase acting as an adverb, which explains the purpose of the house design.
Step-by-step explanation:
The sentence "Houses should be designed to take advantage of the sun’s heat" contains an infinitive phrase. This statement is true. An infinitive phrase typically consists of the word "to" followed by a verb. In this case, the phrase "to take advantage of the sun's heat" is the infinitive phrase, with "to take" being the infinitive. Infinitive phrases can act as nouns, adjectives, or adverbs in a sentence, and here it acts as an adverb describing the purpose of how houses should be designed.