For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.) (I want to see evidence of the first derivative test) (b) Find the open intervals on which it is increasing and decreasing. (c) Describe the concavity of the graph. (I want to see evidence of the second derivative test) (d) Do any algebra work that is helpful: find all intercepts, find all discontinuities, discuss end behavior Then use this information to sketch the graph. 1) f(x) = 3x* -4x 2) f(x) =+x 3) f(x) = (x – 1)°(2x – 1)

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