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

1 answer:

4 0

<h2><u>Answer:</u></h2><h2>Polynomials have the domain of all Reals. Plugging any Real number into the equation will give you a value. </h2><h2>Domain = {x|x∈R}</h2><h2><u></u></h2><h2><u> Step-by-step explanation:</u></h2><h2>The range is dependent on the curve itself. The axis of symmetry for this function is</h2><h2>x = -b/2a = -1(-10)/2(1) = 10/2 = 5 </h2><h2>The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8</h2><h2>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}</h2>

<h2><u>Thank you</u></h2><h2><u>sunshinemadison101</u></h2>

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Hi there!

Let's solve this problem step by step!
The zeros of a function are the input values that produce an outcome of 0. To find this input values we must set up and solve an equation.

$f(x) = x(x - 8)$
Set up the equation

$f(x) = 0$ thus $x(x - 8) = 0$

Now use the rule AB = 0 gives A = 0 or B = 0. This rule basically means that if we have a product that equals 0, at least one of the factors must be 0.

Hence, we get the following:
$x = 0 \: \: or \: \: x - 8 = 0$

Finally add 8 to both sides in the right equation.
$x = 0 \: \: or \: \: x = 8$

The zeros of the function are 0 and 8.
~ Hope this helps you!

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Step-by-step explanation: