For a twice-differentiable function

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

f

, it is known that

f''(x)>0

for all

x

near

3

. When the tangent line at

x=3

is used to approximate

f(3.2)

, will the linear approximation be an overestimate or an underestimate? Give a brief reason for your answer.