Below is the graph of
the derivative of a function
defined on the interval (0,8). You can click on the graph to see a larger
version in a separate window.
Refer to the graph to answer each of the following questions. For parts
(A) and (B), use interval notation to report your answer. (If needed, you
use U for the union symbol.)
(A) For what values of in (0,8) is increasing? (If the
function is not increasing anywhere, enter None .)
Answer:
(B) For what values of in (0,8) is concave down? (If the
function is not concave down anywhere, enter None .)
Answer:
(C) Find all values of in (0,8) is where has a local minimum,
and list them (separated by commas) in the box below. (If
there are no local minima, enter None .)
Local Minima:
(D) Find all values of in (0,8) is where has an inflection point,
and list them (separated by commas) in the box below. (If
there are no inflection points, enter None .)
Inflection Points:
You can earn partial credit on this problem.