Let be twice differentiable with for

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

Problem

Let

h

be twice differentiable with

h''(x)>0

for

x<5

and

h''(x)<0

for

x>5

. The tangent line at

x=5

is used to approximate

h(4.8)

and

h(5.4)

. Which option correctly gives the sign of the error (approximation minus actual value) at each point? (a) Positive at

x=4.8

and positive at

x=5.4

(b) Positive at

x=4.8

and negative at

x=5.4

x=4.8

and positive at

x=5.4

(d) Negative at

x=4.8

and negative at

x=5.4