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This video will show you everything you need to know about domains, ranges and relations. It's important to be able to describe a graph in terms of its domain and range. We know that graphs effectively a set of ordered pairs created from a relation. This video looks at how we can describe common functions such as quadratics, square root graphs and hyperbolas in terms of their domains and ranges. There are some examples which show the common exam tricks used. There is so much fun in this video!
This video looks at what relations are defined as a function. It looks at the vertical line test to show how to test for a function
This video takes a look at what a one-to-one function is and how you can tell if a function is one to one. It looks at why you might want to have a one to one function (for inverses) and what implied domains are. It takes a look at the square root graph and how you can find the implied domains for this, and other graphs.
This video looks at Piecewise and Hybrid Functions. It shows why they exist and how to interpret them and draw them. There are examples of a piecewise function and how to draw them.
This lesson shows how function notation and the language of Mathematics can confuse students. The aim of the video is to demystify the language and show how function notation can be used to solve some pretty complex looking (but simple) questions.
This lesson looks at what inverse functions are and how to find the domain, range and inverse for functions. It looks at what functions are, how one-to-one functions are the only things which can have inverses.
This video is the last in the series dealing with Mathematical Methods Units 1 and 2 and Functions. Looking at actual examples of how the work on functions can be applied to real world/application examples. I take a look at the three main types of functions which we have dealt with and apply them to some example questions. Linear functions, hybrid functions, and quadratics are all covered. Dive in an enjoy!
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.