Mathematical Methods · Unit 1 · Binomial expansion and cubic functions · Cubic functions

Sketch the graphs of cubic functions, with and without technology.

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Question 1

The graph of the cubic function f(x) = ax³ + bx² + cx + d is shown. The graph passes through the points (-2, 0), (0, 6), (1, 0) and (3, 0). Determine the values of a, b, c and d.

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Model and solve problems that involve cubic functions, with and without technology.

Solve cubic equations using technology, and algebraically in cases where the equation is factorised.

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