Do you know how can I see any image of graph?

Question

If exist homepage or method, please tell me.

I want see some image of graph like $y=x^2\sin\left(1/x\right)$ or $y=\frac{\ln(x)}{x}$.

Of course, I know that they are not complex, but I want to see it sketched lovely.

I know mathematica, but I don't have it.

Answer 1

There are plenty of options online if you google. One nice alternative is Wolfram Alpha. For one of the plots you want, see here. It should be straightforward to generalise.

Answer 2

Here is a plot of the function $f(x)=x^2\sin(1/x)$. Note that since $$|\sin(1/x)|\leq 1$$ so $$-x^2\leq f(x)\leq x^2$$ You see this squeezed function between two blue ones.