Question: Question 1 Consider the function f(x) = x3 -6x2 +9x +6. i) Find the interval(s) where f(x) is increasing or decreasing. Hence, determine the extremum

Question 1 Consider the function f(x) = x3 -6x2 +9x +6.

Question 1 Consider the function f(x) = x3 -6x2 +9x +6. i) Find the interval(s) where f(x) is increasing or decreasing. Hence, determine the extremum point(s). ii) Find the interval(s) where f(x) is concave up or concave down. Hence, determine the inflection point(s). Sketch the graph of f(x) by using the above information. (13 marks)

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