Consider the following. (If an answer does not exist, enter DNE.) f(x) = x²/3(x-8) (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (c) Find the local minimum and maximum value of f. (Round your answer to two decimal places.) local minimum value local maximum value

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A: Given:  fx=3-x,    gx=x2-1   To find:  a) f+gb) f-gc) fgd) fg And their corresponding domains.

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A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

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A: Consider the following function. p(x)=x2+5x+4 Find two points on the graph of the parabola…

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A: given , the functionfx=x36-x24i)Dinomination cant be…

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A: f(x) =6x, g(x) =xx+6(f o g)(x) = f(g(x))                =f(xx+6)                 =6(xx+6)…

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A: Domain of a function: The domain of a function is the set of all possible input values. The given…