what different things can you graph?

Question

I am trying to learn graph as many thing as possible, without using calculator. It will help me a lot if some one can give me more topics. So i can learn how to graph them.

• line
• parabola
• sin/cos/tan
• circle

Answer 1

Some suggestions:

$y = x^4 - 2x^2 + x - 3$ (polynomials)

$y = a^x$ (exponential function)

$a x^2 + b y^2 = c$ (ellipse or hyperbola)

$y = x+a/x$ (another hyperbola)

$y = (x^3-x)/(x^2+1)$ (or rational functions in general)

$y = \frac{1}{\sqrt{2\pi}}e^{-\frac{x^2}{2}}$ (standard normal distribution)

Try everything you can think of! And you can check your drawings with a free graph software at http://www.padowan.dk/