What is the domain and range of #f(x) = sqrt((x^2) - 3)#?
I'm going to assume for this question that we are staying within the realm of Real Numbers (and so things like
The Domain of an equation is the list of all allowable
Let's look at our equation:
Ok - we know that square roots can't have negative numbers in them, so what will make our square root term negative?
Ok - so we know that we can't have
The Range is the list of resulting values coming from the domain.
We already know that the smallest number the range will be is 0. As
We can see this in the graph: