Which statement correctly describes the concavity of the graph of (y= x ) for (x>0 )?

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

Problem

Which statement correctly describes the concavity of the graph of

y=\ln x

for

x>0

? (a) It is concave upward for all

x>0

. (b) It is concave downward for

x>1

and concave upward for

0<x<1

.},{ (c) It is concave downward for all

x>0

. (d) It changes concavity at

x=1

.}],