Available online
Description
The programme deals with transformations of graphs. In the final section of the programme Roger Duke deals with the specific problem of inverse functions.
The programme deals with transformations of graphs. In the final section of the programme Roger Duke deals with the specific problem of inverse functions.
| Module code and title: | M101, Mathematics: a foundation course |
|---|---|
| Item code: | M101; 07; 1978 |
| First transmission date: | 02-04-1978 |
| Published: | 1978 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:25:00 |
| + Show more... | |
| Producer: | Jack Koumi |
| Contributors: | Mike Crampin; Roger Duke; Allan I.,1936-2013 Solomon |
| Publisher: | BBC Open University |
| Keyword(s): | Animation; Films; Graph transformation; Hyperbola; Inverse function; Overlays; Reflection; Scaling; Translation |
| Footage description: | Allan Soloman discusses the general rules which operate when scaling or translating graphs. Practising these techniques is a good way of learning more about functions. Mike Crampin works through several transformations. Allan Solomon, using a waving curve, demonstrates four types of transformations, translation along the x axis, scaling in the y direction, reflection in the x axis and translation in the y direction. Mike Crampin discusses scaling in the X direction and then reflection in the y axis. He then sets several problems for the students which involve explaining results can by several transformations. Allan Solomon now introduces the final part of the programme which deals with inverse functions. Two drivers are seen at a garage one asks for £2 worth of petrol the other asks for 4 gallons. Some people are seen exhanging pounds for dollars and dollars for pounds. Tables of logs and antilogs are shown. These are all examples of possible inverse functions. Roger Duke looks at inverse functions, graphically. He works through the example of petrol. He obtains the graphical version of this inverse function by reflecting through a diagonal. Inversions will only work for functions that have inverses. He poses the problem of the sine function, does it have an inverse? |
| Master spool number: | 6HT/72347 |
| Production number: | 00525_4244 |
| Videofinder number: | 2457 |
| Available to public: | no |
