Mathematics

Problem

Which of the following best describes the conditions that must be met for

x=c

to be a point of inflection for a twice-differentiable function

h

on an open interval? a)

h''(c)=0

and

h

is continuous at

x=c

. b)

h'(c)=0

and

h''

changes sign at

x=c

. c)

h''

changes sign at

x=c

, and

h

is continuous at

x=c

. d)

h''

changes sign at

x=c

but continuity of

h

x=c

is not required.