Your favorite function

(5 pts)

I assume that everyone who’s made it all the way to College Calculus has a favorite function! So, share yours below by responding to this post. Be sure to

1. Typeset your function with groovy typeset math by enclosing it in $ delimiters, as described in this post and
2. Include a graph of your favorite function.

My favorite function is f(x) = e^{-x^2}. It’s graph looks like so:

Screen Shot 2021-06-07 at 9.52.53 PM1278×920 62.3 KB

I generated that with this sage code:

plot(e^(-x^2), (x,-3,3))

My favorite function is probably \tan^{-1}(\tan(\csc(x^2))) because the graph looks really funny

My favorite function is simply f(x)=\sin(x)

The graph looks like this

My favorite function is f(x)=x^3-x

The graph looks like this:

desmos-graph800×800 19.7 KB

My favorite function is a simple one: f(x)=2*|x|
I like the V shape it makes.

desmos-graph-2800×800 8.47 KB

My Favorite function is:

f(x)=x\sin(1/x) : I just think it looks cool!

Its graph looks like this:

My favorite function is:

f(x)=e^x

because e is such a cool and interesting number to study… it’s also one of my favorites to integrate and derive.

here’s the graph:

My favorite function is f(x)=-(1/28)(x-20)^2+42. The curve is similar to that of a hodograph, although a real hodograph is made of vectors. It looks like this:

Screenshot 2021-06-08 095421847×812 43.9 KB

One of my favorite functions is:

f(x) = \sqrt{\cot(x)}

My favorite function is the Prime Counting Function:

π(n) = \mathrm{number\ of\ prime\ numbers} <=n

The function is symbolized by π, but is not to be confused with the constant π.

f(x)=1/(sin(x))

I like f(x)= tan(x)