Given the equation of the polynomial function: p(x) = −2(x + 5)(2x + 1)(x − 3)^2 a) Describe the domain and range b) Describe any x-intercepts c) Describe the end behavior d) Sketch this function and label all intercepts(Hint: be sure to write the scale on your graph). e) How many extrema does this function have? Justify your answer? f) Write the intervals of x values where the values of p(x) are increasing when x is increasing. (approximate is fine) Make a rough sketch by hand!

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