It's never too late to try and understand rather than try and memorize. If you understand you pretty much won't need to revise it'll just be ingrained in your head.
For the log graph for example, of basic form y = logex.
- When x = 0 or x < 0, y is undefined. (explanation u should know but if you don't
and as
for all x,
. The result? the graph will only appear on the right side and there will be an asymptoe at x = 0
- When y = 0 (for x-intercept), x = 1 (using log laws). Hence (1,0) is x-intercept
- now for the shape of the graph. Think about it this way (while looking at graph on your calculator). Think about it in terms of
. When y > 0, as you increase y, x increases exponentially in this case. So for small increases in y you get large increases in x. Take that idea to your log graph, that as you get to larger values, small increases in y get large increases in x. For y < 0, when you make y even smaller, x just gets closer to zero. Take that idea to the bottom half of your log graph, that is when y is small the graph is getting close to x=0 (although never touching it)
And that basically somes up log graphs (the rest is just transformations)
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