Cubic functions in general form | Year 11 Mathematical Methods | MaffsGuru.com
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This video is another in the Year 11 Mathematical Methods course looking at the general form of a cubic function and how we can use it to sketch graphs. I look at what a cubic graph is and what it looks like and show how we can use this information to sketch graphs. I then look at the inverse of the cubic function and show how we can sketch graphs in this form. Finally I should how to find the inverse of a cubic function algebraically. There are lots of worked examples designed to explain the content in an easy to understand way.
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00:10 Welcome
00:52 Learning objectives
01:12 Recap of past learning
01:55 One rule to bind them all
02:55 Reflecting in the x- and y-axes
05:48 Point of inflection
07:09 Vertical translations of y=x^3
08:19 Horizontal translations of y=x^3
09:48 Example 1
15:11 Comparing the graphs of y=x^3 and y=x^(1/3)
17:09 Example 2
20:50 Example 3: Finding the inverse of a function
23:56 Learning objectives: Reviewed
24:29 Final words and summary
This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.
10 сен 2024
