y is greater than 0 x exist in a set of real numbers
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Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.
What is the domain and range of absolute lxl - 5
(x^2)^(1/2) equals x, therefore, y = x+4, which has a range and domain of all real numbers. The graph is a straight line, slope of 1, y-intercept of 4. Are you actually saying y = (x^2+4)^(1/2). If so, the range and domain will also be all real numbers because x^2+4 will never result in a negative number.
-3
Assuming a large enough domain, the range is -1 to 1.