Write the set in set builder notation (-6,-5,-4,-3,...) A. (-6,-5,-4,-3)
B. (x l x is an integer greater than -7)
C. (x l x is an integer)
D. (x l x is an integer between -7 and -2)

f

step-by-step explanation:

f

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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.