I have a question from one my problems that ask me to graph this space curve using the "appropriate parameter range" to find the true nature of the graph. $$r(t) = (t, \exp(t), \cos(t)).$$
On Maple I did
with(plots): spacecurve([t, exp(t), cos(t)], t = 0 .. 2*Pi, axes = boxed)
I chose $2\pi$ because that's the domain of $\cos(t)$, but when I extend this from $-2\pi$ to $2\pi$, I get a better view. SO what does it mean to have a "true nature of the curve"?