Question 1085669
Domain is all x between -3 and 3 {-3, 3}
Range is between 0 and 6.  It's a function, so where y is negative is not allowed.
{{{graph(300,300,-10,10,-10,10,sqrt(36-4x^2))}}}
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if x < 1, the function goes from -1 to infinity.  
if 1 < x or x>1, the function is 1.
domain is all x except x=1, (-oo, 1)U(1, oo)
range is [-1, oo).  There is a hole at x=1 (1, 0) and at (1, 0); these are from if x=1 the function doesn't exist (1, 1) and x^2-1 would equal 0, but only if x=1, which is not allowed.  The range is not affected, since the left side of the quadratic curve, where x is negative, will include both 0 and 1.
{{{graph(300,300,-5,5,-10,10,x^2-1)}}}