Avolleyball playoff competition has eliminations each round. the table below shows the number of teams in each round of the tournament: round (x) 1 2 3 4 teams f(x) 16 8 4 2 compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.