Let \( g(x)=-2(3 x+4)(x-1)(x-3)^{2} \) be a polynomial function. a. Sketch a graph of the polynomial. b. Name all horizontal and vertical intercepts of the graph. c. State the end behavior of \( g \).
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The roots are found by setting each factor equal to zero: - \(3x + 4 = 0 \Rightarrow x = -\frac{4}{3}\) - \(x - 1 = 0 \Rightarrow x = 1\) - \(x - 3 = 0 \Rightarrow x = 3\) (with multiplicity 2) Show more…
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