(1 point) Below is the graph of the derivative f (ar) of a function defined on t
ID: 2892673 • Letter: #
Question
(1 point) Below is the graph of the derivative f (ar) 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. (lf needed, you use U for the union symbol.) (A) For what values of a in (0,8) is f(ar) increasing? (If the function is not increasing anywhere, enter None Answer: (0,3)u(5,8) (B) For what values of z in (0,8) is f(ar) concave down? (If the function is not concave down anywhere, enter None Answer: none (C) Find all values of r in (0,8) is where f(r) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None Local Minima: none (D) Find all values of a in (0,8) is where f(z) has an inflection point, and list them (separated by commas) in the box below. (lf there are no inflection points, enter None Inflection Points: noneExplanation / Answer
A) function is increasing : (0,3) U (5,8)
B) function is concave down - where function is decreasing: (3,5)
Now, from the graph critical points are where f'(x) = 0 i.e at x = 3 and x=5
C) Local minimum - f'(x) change form - to + : x=5
D) inflection point - where f'(x) is maximum : x = 2,4,6
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