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Mathematics, 20.11.2020 23:30 unknownday7

The derivative of a polynomial function, f(x), is represented by the equation f'(x) = -2x(x – 3)^2. Additionally, f(1) = -3. Use this information to answer the following questions.

PART A: On what interval(s) is the graph of f(x) increasing? Decreasing? Justify your reasoning.
PART B: At what value(s) of x does the graph of f(x)have relative maximum? A relative minimum?
Justify your reasoning.
PART C What is the equation of the tangent line to f at x = 1?

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