(Solved): Determine the intervals on which the given function is concave up or concave down and find the poi ...

Determine the intervals on which the given function is concave up or concave down and find the points of inflection. f(x) = (x - - 10) (1 – x³) - (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of points in the form in the form (*, *). Enter DNE if there are no points of inflection.) points of inflection: (x, y) = Incorrect (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ? for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Øif the interval is empty.) f is concave up when x E (0,5) U (5,00) Incorrect f is concave down when x E (-?0,0) Incorrect