Consider the function $f(x) = 2x^3 + 2x^2 + 1$. Find the largest open intervals on which the function is concave up or concave down. If there is more than one interval, intervals from left to right as they appear on the real line. Enter INF for $\infty$ and -INF for $-\infty$. If there are extra blank Concave up: $(-1/3, INF)$, $(NONE, NONE)$ You are correct. Your receipt no. is 388-465447 Concave down: $(-INF, -1/3)$, $(NONE, NONE)$ You are correct. Your receipt no. is 166-3008 Previous Tries Find all the inflection points. Enter your answer in the format of $(x, y)$ and enter the inflection point with the smaller x are no inflection points, enter NONE. Inflection point: $(-1/3, 31/27)$ You are correct. Inflection point: $(NONE, NONE)$ You are correct. Your receipt no. is 366-7060 Previous Tries Find the largest open intervals on which the function is both concave up and increasing. If there is more than one interv intervals from left to right as they appear on the real line. Enter INF for $\infty$ and -INF for $-\infty$. If there are extra blanks Concave up and increasing: (
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Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection. f(x) = 8 / (x - 2) Select the correct choice below and fill in the answer boxes to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) A. The function is concave upward on and concave downward on . B. The function is concave downward on . There are no intervals on which the function is concave upward. C. The function is concave upward on . There are no intervals on which the function is concave downward. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function point(s) of inflection is/are at . (Type an ordered pair. Use a comma to separate answers as needed.) B. There is no point of inflection.
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