For each answer provide a detailed explanation $($approximately $1-2$ paragraphs$)$ and provide appropriate references from either the FAR or from the class text book. Remember when citing the FAR to follow the guidelines at FAR $1\mathrm{.}105-2.$

$1.$ What are the key elements required for a legally binding contract with the government?

$2.$ Who has the authority to enter into contracts on behalf of the government? How is their authority defined and limited$?$

$3.$ Define an inherently governmental function. Why is it important for contracting officers to understand this topic?