Question: In below Problems, f (x) and its graph are given. (a) Use the graph to determine (estimate) where the graph of f (x) is concave

In below Problems, f (x) and its graph are given.
(a) Use the graph to determine (estimate) where the graph of f (x) is concave up, where it is concave down, and where it has points of inflection.
(b) Verify that the given f (x) has f ''(x) as its second derivative, and graph f(x) to check your conclusions in part (a).
1. f'' (x) = 4 -x ( for f(x) = 2x2 - x3/ 6)

2. f'' (x) = 6 - x - x2 (for f (x) = 3x2 -x3 / 6 - x4 / 12)

6. -4 -4 10 -6 6. -10

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