An archive the questions from Mark's Spring 2019 Calculus I classes.

What’s your favorite function?

mark

(10 pts - due by Wed, Jan 23)

The purpose of this assignment is to provide a gentle introduction to using this system. The assignment is simple: Tell me your favorite function, in nice mathematical notation, and include a computer generated graph. For example:



My answer:

My favorite function is f(x)=e^(-x^2).

I can plot its graph using Sage like so:

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

marks_favorite_function



Comments:

My answer is the stuff between the bold My Answer and the bold Comments . You should be able to format your answer in a similar fashion. Be sure to read how to do so in the About this site category. In particular, you’d want to read:

I chose to graph this particular example with the Sage cell server because it’s pretty easy to use and has a nice, publicly available, web-based interface that I can link to. Another tool that’s even easier to use and produces awesome graphics is Desmos. There are many other graphing tools that you can use, though.

Also, keep in mind that the question asks for a function, not a more general equation or expression. Thus, something like sin(xy)=0 might look very cool when you plug it into Desmos, but it is not a function.

audrey

That looks fun!

My favorite function is f(x)=sin(pix). I think I’ll graph it with Demos:

AllyB

image

plot(abs(x), (x, -2, 2))

f(x)=abs(x)

Mine is the absolute value function but only because I couldn’t get the reciprocal function to work :stuck_out_tongue:

bloodwolf

Demos is nice. My function is f(x)=x^3

ndudde

I think my favorite function would have to be

f(x)={ (-4<x<-3: 2x+8), (-3<x<-2: 1), (-3<x<-1: 2x+4), (0<x<1: 2x) :}
DesmosHi

ekenned1

My favorite function is f(x)= x^(-10)
I used geogebra to graph it.

Ethan

My favorite function is sin(x)

jrojas1

My favorite function is f(x)=cos(x^2)

ktovarpe

My favorite function is f(x)=cot(x).

lrogers6

My favorite function is f(x) = csc(x) .

And don't forget your Motley Crue T Shirt! You know all proceeds go to get their lead singer outta jail.
kledford

My favorite function is f(x)=1/x

jcantwel

My favorite function is sin(2x)-2sin(x)

Ryeanna

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

tchilde1

My favorite function is f(x)=sin(0.5x) using Desmos.

tsnyder

My favorite function is x^2

jballar2

My favorite function is f(x)=x^3(x+9) I graphed this function using sage.

dcarr

My favorite function is y=xln^2x^2
It looks like this:

BeeMovieHD

This is my favorite function

f(theta)=cos(atheta)

where “a” is a set value

achow1

My favorite function is f(x)=\pi//x^3

adunkle

My favorite function is f(x)=x^2+2