State whether it is possible to have a function f defined on the indicated interval and meets the given conditions: f is defined on [2, 5]; f is continuous on [2, 5] and the range of f is an unbounded interval.
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My first thought on this is that if your function was continuous
on the interval [2,5), then we can make a function with an
asymptote at x=5
But the thing is that 5 is included
Yes, I know.
And this is why I am saying that if there is an asymptote at x=5, then the functin is not defined at 5, so value of 5 will not be included. (Similarly, we can't make a function with an asymptote at x=2).
Therefore a case of an asymptote won't work.