$\newenvironment {prompt}{}{} \newcommand {\ungraded }[0]{} \newcommand {\text }[1]{#1} \newcommand {\sagecheck }[2]{ \ifthenelse {}{}{}\textit {} } \newcommand {\HyperFirstAtBeginDocument }[0]{\AtBeginDocument }$
1 : Consider the function $f:\mathbb {R}\rightarrow \mathbb {R}$ defined by $f(x) = \sage {p1f1}$. The name of the function is $\answer {f}$.
1.1 : What is the rule that defines $f(x)$? $x$ is mapped to $\answer {\sage {p1f1}}$.
1.1.1 : $f(\sage {p1c4}) = \answer {\sage {p1ans1}}$.
2 : Consider the function $f:\mathbb {R}\rightarrow \mathbb {R}$ defined by $f(x) = \sage {p2f1}$. The name of the function is $\answer {f}$.
2.1 : What is the rule that defines $f(x)$? $x$ is mapped to $\answer {\sage {p2f1}}$.
2.1.1 : $f(\sage {p2c4}) = \answer {\sage {p2ans1}}$.
3 : Consider the function $f:\mathbb {R}\rightarrow \mathbb {R}$ defined by $f(x) = \sage {p3f1}$. The name of the function is $\answer {f}$.
3.1 : What is the rule that defines $f(x)$? $x$ is mapped to $\answer {\sage {p3f1}}$.
3.1.1 : $f(\sage {p3c4}) = \answer {\sage {p3ans1}}$.