Since there are infinitely-many points on the curve, plotting "each" point is obviously impossible.Hi. I am curious to know if there is a way to graph the function...
... without manually plotting each point.
Ah, yes. I should have worded that better. Clearly, attempting to plot every point would keep me occupied until death came knocking.Since there are infinitely-many points on the curve, plotting "each" point is obviously impossible.
I ended up plotting a total of 4 points. One on the far left, and one on the far right of the graph ("outside" the two vertical asymptotes). The x-intercept acted as a point between the two vertical asymptotes. There was no y-intercept in this problem. Finally, I plotted two more points between the vertical asymptotes. I was curious if I could avoid plotting even that many points though.Trying to figure out transformations from some base function would probably be much too much trouble. Instead, try first finding the vertical and horizontal asymptotes and the intercepts. Then find just enough points in between the "interesting" bits to give you the general idea of what the graph looks like.
Then rough in your line.