Find all relative extrema and inflection points for each of the following functions and sketch the graphs on your own.

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(a) f(x)=4x-48x2-240x +29 (c) f(x) = -2x3 + 24x + 288x - 35 (e) f(x)=-5x + 135x2 - 675x + 107 (g) f(x)=3x-58.5x2 +360.x - 49 (b) f(x)=(x+6) (d) f(x)=(2x+7)4 (f) f(x)=-3(4x-11)6 (h) f(x)=2(5x-13)5