(Solved): The graph of the position function of an object is given where t is measured ...

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The graph of the position function of an object is given where $$t$$ is measured in seconds. Points of inflection occur at $$t=2,5,8,10$$. i. Select all of the following intervals over which the object is speeding up? $$(0,2)(2,5)(5,8)(8,10)(10,11)$$ ii. Select all of the following intervals over which the object is slowing down? $$\begin{array}{llll}(0,2)& (2,5)(5,8)& (8,10)& (10,11)\end{array}$$