The table gives values of a differentiable function at unequally spaced -values

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The table gives values of a differentiable function ss at unequally spaced xx-values.
x0.00.71.52.64.0
s(x)s(x)10.011.813.114.014.6
Using only the information in the table, determine whether ss is concave up or concave down on the interval 0<x<40 < x < 4. Support your conclusion with a comparison of successive average rates of change.

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