Determine the intervals on which the given function is concave up or concave down and find the points of inflection.f(x) = 8xe-3x(Use symbolic notation and fractions where needed. Give your answer as a comma separated list of points in the form in theform (*, *). Enter DNE if there are no points of inflection.)points of inflection:Determine the interval on which f is concave up.(Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o forinfinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval isopen or closed. Enter Ø if the interval is empty.)ΧΕDetermine the interval on which f is concave down.(Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o forinfinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval isopen or closed. Enter Øif the interval is empty.)XE

The graph of y =f(x) is concave up on those interval where f"(x)>0 . The graph of y =f(x) is…

Determine the intervals on which the given function is concave up or concave down and find the points of inflection. f(x) = 8xe-3x (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: Determine the interval on which f is concave up. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.) x E Determine the interval on which f is concave down. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.) x E