Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x-values at which thepoints of inflection occur.f(x) = x(x - 5√√x), x>0(Enter an exact answer. Use symbolic notation and fractions where needed. Give your answer in the form of a comma separatedlist, if necessary. Enter DNE if there are no points of inflection.)225(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol co forinfinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the intervalis open or closed. Enter Ø if the interval is empty.)f is concave up when x Ef is concave down when x EQuestion Source: Rogawski 4e Calculus Early Transce

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Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x-values at which the points of inflection occur. f(x) = x(x - 5√√√x), x>0 (Enter an exact answer. Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list, if necessary. Enter DNE if there are no points of inflection.) x = 225 64 (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol co 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 f is concave down when x E Question Source: Rogawski 4e Calculus Early Transce AR