Consider the function below.
C(x) = x1/7(x +
8)
(a) Find the interval of increase. (Enter your answer using
interval notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter
DNE.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list. If an answer does not exist, enter
DNE.)
(c) Find the inflection points.
(x, y) |
= |
(smaller x-value) |
||
(x, y) |
= |
(larger x-value) |
Find the intervals where the graph is concave upward. (Enter your
answer using interval notation.)
Find the interval where the graph is concave downward. (Enter your
answer using interval notation.)