Find the open intervals where the function f(x) = 8/(x-8) is concave upward or c

Question

Find the open intervals where the function f(x) = 8/(x-8) is concave upward or concave downward. Find any inflection points. The function has a point of inflection at . (Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression. Type N if the function does not have an inflection point. ) The function is concave upward on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if the function is never concave upward.) The function is concave downward on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if the function is never concave downward.)

Explanation / Answer

No points of inflection since f''(x) will never = 0 Graph is concave upward on the interval (8 , inf) Graph is concave downward on the interval (-inf, 8)

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