The graph of the derivative $f'$ of a continuous function is shown. (Assume the graph goes to infinity.) y 2 -2 y = f'(x) X 6 (a) On what interval(s) is $f$ increasing or decreasing? (Enter your answer using interval notation.) Increasing decreasing (b) At what value(s) of $x$ does $f$ have a local maximum? (Enter your answers as a comma-separated list.) x= At what value(s) of $x$ does $f$ have a local minimum? (Enter your answers as a comma-separated list.) x= (c) On what interval(s) is $f$ concave upward? (Enter your answer using interval notation.) On what interval(s) is $f$ concave downward? (Enter your answer using interval notation.) (d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.)
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Step 1: To determine when a function increases or decreases, we need to find the intervals where the derivative of the function is positive or negative. Show more…
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