I don't quite understand the problem when they ask for the smallest/largest integer in the domain of a function. Am I supposed to take the limit or something?
no ... just determine the domain.
For example:
Find the smallest positive integer in the domain of f(x):
 = \frac{\sin^2x}{\sqrt{x^2-28x-29}})
x^2 - 28x - 29 > 0 (x - 29)(x + 1) > 0 x > 29 ... x < -1 so ... what is the smallest positive integer in the domain?
and for this one:
Given
 = x^2 - 27x - 28)
, find the largest integer in which
is decreasing.
So I found the derivative, did the sign chart and found that it was decreasing at 13.5. Is this right?
largest integer? wouldn't that be 13?
and for this one:
 = \frac{\sqrt{19x - x^2 - 34}}{e^x})
has a domain of
![[a,b]](http://latex.codecogs.com/png.latex?[a,b])
. Find
So for this one, I found the zero of the top of the fraction, which was 17 and 2, and I made those two the domain, so 17-2 = 15. Is this correct?
correct
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Originally Posted by steveo0 
