Graph the polynomial P(x) = x- 6x+9x using calculus by the flowing steps: (a) Find the...

 

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Graph the polynomial P(x) = x- 6x+9x using calculus by the flowing steps: (a) Find the x- and y-intercepts of the graph y= P(x); (b) Determine the end behavior, of the graph, as x oo; (c) Determine the intervals on which the function is increasing and/or decreasing and find its local extrema; (d) Determine the concavity of the curve y = P(x) and the points of inflection (if any); (e) Sketch the graph of the function using the above information (Hint: Find some additional points in each interval). Graph the polynomial P(x) = x- 6x+9x using calculus by the flowing steps: (a) Find the x- and y-intercepts of the graph y= P(x); (b) Determine the end behavior, of the graph, as x oo; (c) Determine the intervals on which the function is increasing and/or decreasing and find its local extrema; (d) Determine the concavity of the curve y = P(x) and the points of inflection (if any); (e) Sketch the graph of the function using the above information (Hint: Find some additional points in each interval).