Polynomials have the domain of all Reals. Plugging any Real number into the equation will give you a value.
Domain = {x|x∈R}
Step-by-step explanation:
The range is dependent on the curve itself. The axis of symmetry for this function is
x = -b/2a = -1(-10)/2(1) = 10/2 = 5
The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8
Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum. It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}
