How can I sketch a graph?

There are a number of steps before sketching a graph. We will look over bits of theory and then do some examples (I'll show the examples in the online lesson space) First we have to find the x-intercept and y-interecept. That simply means finding the coordinates of the function when either x or y (which is the same as f(x)) are 0. The we have to find the asymptotes. There are three types of asymptotes: horizontal - when y remains the same as x is very large vertical - when y becomes very large near a certain value of x oblique - similar to the horizontal one (show in the lesson space) The third step is finding any inflection points. We do this by using derivatives.