Calculus: Cubic Function
This CAPS-aligned course has been designed to help support and extend Grade 12 learners. We will cover all the basic concepts, from factorising and solving cubic equations, to sketching the cubic function. We will also cover more challenging work, such as determining the equation of a cubic function. The last lesson focuses on exam-type questions that will include more difficult analysis- and interpretive-type questions.
This course takes the basics one step further to provide some extended examples and questions for those learners who enjoy a challenge.
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Lesson 1 60 minutes with Leigh on Tuesday, 19 Jul 2022, 18:00
Solving Cubic Equations and Cubic Function Basics
We solve cubic equations using inspection, and discuss the characteristics of cubic functions.
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Lesson 2 60 minutes with Leigh on Thursday, 21 Jul 2022, 18:00
Sketching the Cubic Function
We follow the steps to sketching the cubic function where a < 0 and where a > 0.
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Lesson 3 60 minutes with Leigh on Tuesday, 26 Jul 2022, 18:00
Determining the Equation of a Cubic Function
We solve for missing coefficients using simultaneous equations.
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Lesson 4 60 minutes with Leigh on Thursday, 28 Jul 2022, 18:00
Exam-Type Questions
We work through some exam questions from past papers.