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Consider the polynomial function P, given by P(x) =−1/2x^3 - 1/2x^2 + 15x Sketch a graph...

Consider the polynomial function P, given by

P(x) =−1/2x^3 - 1/2x^2 + 15x

Sketch a graph of y = P(x) by: determining the zeros of P, identifying the y-intercept of y = P(x), using test points to examine the sign of y = P(x) to either side of each zero and deducing the end behaviour of the polynomial.

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