Question

Given f(x) = x2 - 10x + 22, what is the domain of f

Answer 1

Answer:

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}

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