Question 39258
{{{y = sqrt(x^2-25)}}}
The values in the square root sign have to be greater than or equal to zero:
{{{x^2 - 25 >= 0}}}
{{{x^2 >= 25}}}
{{{x >= 5}}} or {{{x <= -5}}}
Domain: (x|{{{x >= 5}}} or {{{x <= (-5)}}})
Range: {y|y >= 0}
Since you are not adding any numbers to your function, your range is equal or greater than zero.
I am sorry; I do not know how to graph using programs available to this web.