In below Problems , f (x) and its graph are given. Use the graph of f (x) to determine the following.

1.

2.

(a) Where is the graph of f (x) concave up and where is it concave down?
(b) Where does f (x) have any points of inflection?
(c) Find f (x) and graph it. Then use that graph to check your conclusions from parts (a) and
(b) Sketch a possible graph of f (x).

Transcribed Image Text:

f'(x) = 4x – x² -4 16 f'(x) = x² – x – 2 10 -5 -4