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I got a Pre Calculus Workbook For Dummies and I have to say so far I'm not too pleased.

I have already found a bunch of typos, and when there are typos in the direction of the inequality, or the sign of an answer... that's bad.

anyways, I'm up to graphing rational functions and they're doing a horrible job explaining it.

I guess, I'm slowly learning the rules and what to do:

1. set the top of the fraction =0 and solve to find the x intercept.

2. set x to 0 to find y intercept

3. set denominator to 0 to find verticle asymptotes

I understand that, but I guess the whole idea is wishy washy to me. I am just plugging in numbers randomly and drawing out the graph at that point?

I see a lot of graphs of rational functions that have random twists and turns, and what if I just happen to not plug in a point at that exact spot to find it?

is there a systematic way to work on these? or is it literally find those 3 things I said above, and then just plug away?