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Question 1a Consider the polynomial function P(x) = x3+x2−20x. Sketch a graph of y = P(x)...

Question 1a Consider the polynomial function P(x) = x3+x2−20x. Sketch a graph of y = P(x) by: determining the zeros of P(x), identifying the y-intercept of y = P(x), using test points to examine the sign of P(x) to either side of each zero and deducing the end behaviour of the polynomial.

b Consider the quadratic function f(x) = 2x2 + 8x−1. (a) Express f(x) in standard form. (b) Determine the vertex of f(x). (c) Determine the x- and y-intercepts of y = f(x). (d) Sketch a graph of y = f(x). (e) Determine the domain and range of f(x).

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