3.Let-g(x)=a x^{3}\left(b x^{2}-c\right)-(a) Find the x and y intercepts of g(x).-(b) Find the critical points of g(x) (round the y-valueto 3 dp, where appropriate).-(c) Create a table of signs for g (x).-(d) Find the intervals where g(x) is increasing decreasing, using interval notation.or-(e) Find any local minima and maxima of g(x).-(g) Use the information from (a)-(f) to sketch a graph of g(x), including all relevant information. (You can use technology)-(f) Find the intervals (using interval notation ) where g (x) is concave up and concave down,and any points of inflections.

Calculus(Mathematics)

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