(Solved): Identify the points where the function has a local maximum value, a local minimum value, or an inf ...

Identify the points where the function has a local maximum value, a local minimum value, or an inflection point. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list of point coordinates in the form \( (*, *),(*, *) \ldots) \) the point(s) of local maximum: the point(s) of local minimum: Identify the intevals on which the function is increasing, decreasing, concave up, or concave down. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, \( * \) ). Use the symbol \( \infty \) for infinity, \( \cup \) for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed. Enter \( \varnothing \) if interval is empty.) the interval(s) of increasing: the interval(s) of decreasing: the interval(s) of increasing: the interval(s) of decreasing: the concave up interval(s): the concave down interval(s):