Graphs of standard functions for JEE

Formula

\[y=x,\ y=x^2,\ y=x^3,\ y=|x|,\ y=[x],\ y=\{x\},\ y=\frac1x,\ y=\sqrt{x},\ y=e^x,\ y=\ln x,\ y=\sin x,\ y=\cos x,\ y=\tan x\]

Variables: Standard elementary functions.

Conditions: Use usual domains of the listed functions.

Graph-based continuity, domain-range, monotonicity and differentiability problems.