For all real numbers

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For all real numbers xx, the second derivative of a function hh is given by h′′(x)=4−2xh''(x)=4-2x. At which xx-value does the graph of hh have a point of inflection? (a) x=0x=0 (b) x=4x=4 (c) x=2x=2 (d) There is no point of inflection because h′′(x)h''(x) is never zero.

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