Which function is not associated with an application for a life insurance policy?

The correct choice highlights that establishing eligibility for a premium discount is not a primary function of an application for a life insurance policy. The application primarily serves several critical roles, including conveying the applicant's desire to obtain coverage, providing necessary information for underwriting, and serving as an official record of the policy terms upon the issuance of the policy.

While premium discounts may exist as part of a policy’s features, the application itself does not focus on determining eligibility for these discounts. Instead, it mainly gathers personal and health information that underwriters evaluate to assess risk and decide on coverage and pricing. Understanding the main purpose of the application helps clarify why eligibility for premium discounts falls outside of its core functions.