What's enrichment assessment?

as a flvs student i need to know what it is, and how to turn in it!
i get a 78 as my overall note, but if a use the enrichment assessment i will get 83.

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72 is the answer to this problem

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.