Question

question number 1:

Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)

f(x) = x + 7 cos x, [0, 2π]

(x, y)	=		DNE    (smaller x-value)
(x, y)	=		DNE    (larger x-value)

Describe the concavity. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

concave upward	DNE
concave downward

question number 2:

Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.)

f(x) = 3 sin x + 3 cos x,    [0, 2π]

(x, y)	=		(smaller x-value)
(x, y)	=		(larger x-value)

Describe the concavity. (Enter your answers using interval notation.)

concave upward
concave downward

Answer 1