A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th
e tournament: Round (x)
1 2 3 4
Wrestlers f(x)
64 32 18 9
Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.
55; there were 55 fewer wrestlers between rounds 1 and 4 3; there were 3 rounds between rounds 1 and 4 negative fifty five over three; on average, there were 55 fewer players for every 3 rounds negative three over fifty five; on average, there were 3 fewer players for every 55 rounds
<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>