1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine the ?-coordinates of all inflection points of ?.
2. Find the x-values of all inflection points for the graph ?(?)=2?4+18?3−30?2+15f(x)=2x4+18x3−30x2+15. (Give your answers as a comma separated list, e.g., 3,-2.)
3. Let f(x)=1/4x2+7. Find the open intervals on which ?f is concave up (down). Then determine the ?x-coordinates of all inflection points of ?.
4. Let ?(?)=6?−3/?+4 Find the open intervals on which ?f is concave up (down). Then determine the ?x-coordinates of all inflection points of ?f.
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