The function is concave down for

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

Problem

The function g(x)=xg(x)=\sqrt{x} is concave down for x>0x>0. The tangent line to gg at x=9x=9 is used to estimate g(9.4)g(9.4). Which interval must contain the actual value of g(9.4)g(9.4)? (a) (3.07, 3.09)(3.07,\,3.09) (b) (3.04, 3.06)(3.04,\,3.06) (c) (3.06, 3.07)(3.06,\,3.07) (d) (3.02, 3.04)(3.02,\,3.04)

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