How do I approach solving and graphing cubic function problems?
In this post, we learn to recognise cubic functions of the form: f(x) = x^{3}, f(x) = k(x - b)^{3} + c and f(x) = k(x - a)(x - b)(x - c), where a, b, c and k are constants, from their equation and/or graph and identify important features of the graph. This is part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Linear, Quadratic and Cubic Functions, specifically focussing on solving cubic function problems.
How do I graph cubic functions?
The following four videos cover the step-by-step methodical process to understand and graph cubics in various forms and recognise the respective graphical properties.
Part 1: Considering f(x) = x^{3}
Part 2: Vertical Translation f(x) = k(x - b)^{3} + c
Part 3: Factored form f(x) = k(x - a)(x - b)(x - c),
