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You are given the graph of a function f. Determine the intervals where the graph

ID: 2836615 • Letter: Y

Question

You are given the graph of a function f. Determine the intervals where the graph off is concave upward and where it is concave downward. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or .) concave upward concave downward Find all inflection points off, if any. (If an answer does not exist, enter DNE.) You are given the graph of a function f. Determine the intervals where the graph off is concave upward and where it is concave downward. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or .) concave upward concave downward Find all inflection points off, if any. (If an answer does not exist, enter DNE.)

Explanation / Answer

Concave upward=(0,infinity)

Concave downward=(-infinity,0)

inflection point=(0,1)

Concave upward=(0,2)U(4,6)U(7,9)U(9,12)

Concave downward=(2,4)U(6,7)

Inflection points are (2,2) , (4,2),(6,2) and (7,3)

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