Question: For a function f ( x ) , the derivative is given by f ( x ) = x 2 3 x 1 8 .

For a function f(x), the derivative is given by f(x)=x23x18. Answer the following parts based on this function. Note that you are given the derivative f, not the functionf itself. SHOW ALL WORK for each part of question.

1) Find all critical points off

2) Find the intervals on whichf is increasing and decreasing.

3) Find the intervals on which the graph off is concave up and concave down.

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