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4. Given to the right is the graph of a function f(r). Define F ( x) = [ f(t) at. Answer the following questions about the function F(r). NOTE THAT F AND f ARE NOT THE SAME FUNCTION! 3 6 (a) Fill in the entries in the table below. 2 3 4 5 F(x) (b) List the interval(s) on which F(r) increasing. Briefly explain how you identified your answer(s). (c) List the interval(s) on which F(r) concave down. Briefly explain how you identified your answer(s). (d) List all places (if there are any) at which F(r) has a local minimum value. Briefly explain how you identified your answer(s), or why there are none. (e) List all places (if there are any) at which F(r) has a local maximum value. Briefly explain how you identified your answer(s), or why there are none