A twice-differentiable function satisfies for all in the interval

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

Problem

A twice-differentiable function

g

satisfies

3\le g''(x)\le 5

for all

x

in the interval

0\le x\le0.20

. Given

g(0)=1.00

and

g'(0)=4.0

,\ a) compute the linear approximation

L(0.20)

g(0.20)

, and\ b) give an interval of possible values for

g(0.20)

based on the information about

g''