Problem Set - Graphs of the Basic Functions

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au
and

Department of Mathematics
University of Wisconsin, Madison
Madison, WI 53706 USA
ram@math.wisc.edu

Last updates: 7 December 2009

Graphs of the Basic Functions

	Graph $f\left(x\right)=\left|x\right|$.
	Graph $f\left(x\right)=⌊x⌋$.
	Graph $f\left(x\right)=2$.
	Graph $f\left(x\right)=x$.
	Graph $f\left(x\right)=x^2$.
	Graph $f\left(x\right)=x^3$.
	Graph $f\left(x\right)=x^4$.
	Graph $f\left(x\right)=x^5$.
	Graph $f\left(x\right)=x^6$.
	Graph $f\left(x\right)=x^{100}$.
	Graph $f\left(x\right)=x^{-1}$.
	Graph $f\left(x\right)=x^{-2}$.
	Graph $f\left(x\right)=x^{-3}$.
	Graph $f\left(x\right)=x^{-4}$.
	Graph $f\left(x\right)=x^{-100}$.
	Graph $f\left(x\right)=e^x$.
	Graph $f\left(x\right)=\sin x$.
	Graph $f\left(x\right)=\cos x$.
	Graph $f\left(x\right)=\tan x$.
	Graph $f\left(x\right)=\cot x$.
	Graph $f\left(x\right)=\sec x$.
	Graph $f\left(x\right)=\csc x$.
	Graph $f\left(x\right)=\sqrt{x}$.
	Graph $f\left(x\right)=x^{1/3}$.
	Graph $f\left(x\right)=x^{1/4}$.
	Graph $f\left(x\right)=x^{1/5}$.
	Graph $f\left(x\right)=x^{1/6}$.
	Graph ${\displaystyle f\left(x\right)=\frac{1}{\sqrt{x}}}$.
	Graph $f\left(x\right)=x^{-1/3}$.
	Graph $f\left(x\right)=x^{-1/4}$.
	Graph $f\left(x\right)=\ln x$.
	Graph $f\left(x\right)=\arcsin x$.
	Graph $f\left(x\right)=\arccos x$.
	Graph $f\left(x\right)=\arctan x$.
	Graph $f\left(x\right)=\mathrm{arccot}x$.
	Graph $f\left(x\right)=\mathrm{arcsec}x$.
	Graph $f\left(x\right)=\mathrm{arccsc}x$.

References [PLACEHOLDER]

[BG] A. Braverman and D. Gaitsgory, Crystals via the affine Grassmanian, Duke Math. J. 107 no. 3, (2001), 561-575; arXiv:math/9909077v2, MR1828302 (2002e:20083)