Give an example of a continues function from an open and bounded interval $(a,b)\rightarrow I $ where $f(I)=ℝ$
I'm having trouble coming up with a function that is has a bounded co-domain, yet an infinite domain for any values of a and b.
Give an example of a continues function from an open and bounded interval $(a,b)\rightarrow I $ where $f(I)=ℝ$
I'm having trouble coming up with a function that is has a bounded co-domain, yet an infinite domain for any values of a and b.
Consider $\tan(x)$ restricted to the interval $(-\pi/2,\pi/2)$.