# Functions Session

• All things are subject to interpretation whichever interpretation prevails at a giventime is a function of power and not truth. (Friedrich Nietzsche)
• Although all the good arts serve to draw man’s mind away from vices and lead it toward better things, this function can be more fully performed by this art, which also provides extraordinary intellectual pleasure. (Nicolaus Copernicus)

• Functions
• What Is a Function?

#### To Do:

• Plot some polynomial and rational functions $f:Q\rightarrow Q$.
• Construct different functions in Python code.
• Contemplate how functions are specified in Python. Does it tell us what a function is?
• Is $t\rightarrow f(t)=\sin (t)$ a function? How is $f(t)$ determined for a given value of $t$? By table or computation? How is $\sin(\sqrt{2})$ specified?
• Reflect over symbolic vs constructive digital specification of functions.

• $F=m_1m_2/r^2$, $E=MC^2$, $f(b)-f(a)=f^\prime (\xi )(b-a)$).