The question below is based on the following four sets of data-pairs: (1) A and B, (2) C and D, (3) E and F, and (4) G and H. In each set, the independent variable is in the left column and the dependent variable is in the right column. (1) (2) (3) (4) A B C D E F G H 0 6 2 10 0 12 0 3 7 5 3 20 1 10 2 5 14 4 4 30 2 8 4 7 21 3 5 40 3 6 6 9 Which of the four sets of data pairs show an inverse relationship between the independent and dependent variable

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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.