PART A: determine the intervals where the function f(x) is increasing or decreas

Question

PART A: determine the intervals where the function f(x) is increasing or decreasing (respectively) and do a chart showing the sign of the derivative. ( give exact values and show all work)

PART B: find the asymptotes (vertical, horizontal, or slant) of the graph of f(x) (show all work)

PART C: please determaine the intervals where the graph concave up or down and find any inflection point (show all work)

PART D: please sketch a graph of the function y= f(x) for -6<x<9 and -5<y<10 showing clearly its intercepts, local maxima or minima, concavity, inflectio points, and asymptotes. your graph need to be to scale but it must be consistent with your results in parts a),b),c)

Explanation / Answer

increasing at (-infinity,-root2+2)||(root2+2,-infinity,)

decreasing at(-root2+2,root2+2)

B)vertical at x=2

horizontal at -root2+2,root2+2

C)x>2 concave up

x<2 concave down

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