(Solved): The graph of the derivative \( f^{\prime} \) of a continuous function \( f \) is shown. (Assume \( ...

The graph of the derivative \( f^{\prime} \) of a continuous function \( f \) is shown. (Assume \( f^{\prime} \) continues to \( \infty \).) (a) On what interval(s) is \( f \) increasing? (Enter your answer in interval notation.) On what interval(s) is \( f \) decreasing? (Enter your answer in interval notation.) (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 in interval notation.) On what interval(s) is \( f \) concave downward? (Enter your answer in interval notation.)