Help with math, please anyone

Question

Find the range of the function .

Options:

1)	[-4, 4]
2)	[0, 4]
3)	[0, 4π]
4)	[0, 8π]

Answer 1

Hi David S.

The answer is (a) [-4,4]. The key to figuring this problem out is to look at the argument in the square root

16-t². For the integrand to remain real valued, t has to range between -4 and 4. Accordingly, so does x.