Question

I graphed the equation: f(x) = 5 tan(2x − π) in a graphing program.... and as I zoomed it in and out, I discovered that it looked very ... strange ...... any explanations?

Answer 1

the original

Answer 2

zoomed out a little bit....

Answer 3

zoomed out even more ....

Answer 4

zoomed out to the maximum...

Answer 5

The dimensions of the image remain the same. However, as the domain increases, the software is adjusting more and more disjoint curves into the same box.

Answer 6

When you say "zoom out", you actually mean that you increased the domain. If you increase the dimensions of the image in which the graph is being plotted, you'll see a clearer image.

Answer 7

Works something like having a few drops of water and taking them together. You do not see how the droplets were initially and now it is now indistinguishable. The reason is as we zoom put they come closer to fit in the same screen you were viewing.

Answer 8

haha, oh, ok, cool :D that makes sense XD
the program is new to me, so I was kinda curious since it looked a bit different from what I had seen on my graphing calculator

Answer 9

what program are you using?

Answer 10

its called GeoGebra ... I recently downloaded it as a requirement for my course

Answer 11

I see. thanks.

Answer 12

of course, you're the one who answered my question, so I should be thanking you :P
so.... uh, thanks XD

Answer 13

oh well..yeah... welcome XD

Answer 14

:D