Identify where the function f(x) = x' – 4x2 + 8x + 1 is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*,*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: f is concave down on:

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