SOLUTION: how do you find the domain and range and roots without graphing the queation. We are not allowed to use a graphing calculator, so if I need to graph the problem, how would I do tha

Question 63988: how do you find the domain and range and roots without graphing the queation. We are not allowed to use a graphing calculator, so if I need to graph the problem, how would I do that? For example: h(x)=sqrt(x^2-6x+8)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Only the positive square root is indicated, so h(x)
can never be negative.
That means the range of h(x) is 0 < h < plus infinity
The values that make h(x) = 0 are the roots, x = 2 and x = 4
Any values of x that make (x-2)(x-4) negative result in
the square root of a negative number and cannot be plotted
(x-2)(x-4) is negative when 2 < x < 4
So, the domain of h is 2 > x > 4
The plot looks like a parabola with everything below the x-axis
missing.

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