Let . On which of the following intervals is the graph of both increasing and concave…

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

Problem

Let

p(x)=x^{3}-6x^{2}+9x+2

. On which of the following intervals is the graph of

p

both increasing and concave down? (a)

(1,2)

(b)

(-\infty,1)

(c)

(3,\infty)

(d)

(-\infty,2)