Graph plotter and exploration

Online calculator of function exploration (Study of function) allows you to find
[✔] The domain of the function
[✔] The intersection points with the X-axis coordinate
[✔] The intersection points with the Y-axis coordinate
[✔] Function extrema
[✔] Function inflection points
[✔] Vertical asymptotes
[✔] Horizontal asymptotes
[✔] Inclined asymptotes
[✔] Whether the function even or odd
[✔] Build a graph of a function

The calculator (as a plotter or grapher) also allows:
[✔] Build a graph in polar coordinates
[✔] Build a graph of a function which defined parametrically

It supports:
[✔] All mathematical functions. For example: sin (x), cos (x) exp (x), tan (x), the ctan (x), sqrt (x) and others.
[✔] Different arguments and options: a, b, c, etc.

The Calculator contain several features:
[✔] Several examples
[✔] Сorrect input expression errors

Examples of explored functions:
x/(x-1)
sin(x)*exp(-x)