(1 point Below is the graph of the derivative f \'Co of a function defined on th
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Question
(1 point Below is the graph of the derivative f 'Co of a function defined on the interval (0,80. 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 part (A, use interval notation to report your answer. needed, you (If use U for the union symbol.) (A) For what values of (0,8) is f(x concave down? (If the function is not concave down anywhere, enter "f" without the quotation marks.) Answer: (B) Find all values of xlin (0,8) is where fO has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter -1000.) Inflection Points:Explanation / Answer
The given graph is for f'(x), that is, derivative of function f(x).
Therefore, f(x) will be concave down when f''(x)<0, or in other words, when f'(x) is decreasing.
From the given curve, f'(x) is decreasing on (1,4) and (6,8). Therefore, Graph of f(x) is concave down on (1,4)U(6,8).
Inflection points occur when graph changes its concavity. We can see that the graph of f(x) will change its concavity at the points x=1,4 and 6. Therefore, points of inflection of f(x) are x = 1,4,6
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