Below is the graph of the derivative f'(x) 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 a in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None.)
Answer:
(B) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None.)
Answer:
(C) Find all values of x in (0,8) is where f(x) 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 x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If
there are no inflection points, enter None.)
Inflection Points: