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Section A.1 Graphs of Common Functions
Polynomial Functions.
Figure A.1.1. Graph of \(y=x\)
Figure A.1.2. Graph of \(y=x^2\)
Figure A.1.3. Graph of \(y=x^3\)
Figure A.1.4. Graph of \(y=x^4\)
Diagram Exploration Keyboard Controls
| Key |
Action |
| Enter, A |
Activate keyboard driven exploration |
| B |
Activate menu driven exploration |
| Escape |
Leave exploration mode |
| Cursor down |
Explore next lower level |
| Cursor up |
Explore next upper level |
| Cursor right |
Explore next element on level |
| Cursor left |
Explore previous element on level |
| X |
Toggle expert mode |
| W |
Extra details if available |
| Space |
Repeat speech |
| M |
Activate step magnification |
| Comma |
Activate direct magnification |
| N |
Deactivate magnification |
| Z |
Toggle subtitles |
| C |
Cycle contrast settings |
| T |
Monochrome colours |
| L |
Toggle language (if available) |
| K |
Kill current sound |
| Y |
Stop sound output |
| O |
Start and stop sonification |
| P |
Repeat sonification output |
Rational Functions.
Figure A.1.5. Graph of \(y=\dfrac{1}{x}\)
Figure A.1.6. Graph of \(y=\dfrac{1}{x^2}\)
Figure A.1.7. Graph of \(y=\dfrac{1}{x^3}\)
Figure A.1.8. Graph of \(y=\dfrac{1}{x^4}\)
Diagram Exploration Keyboard Controls
| Key |
Action |
| Enter, A |
Activate keyboard driven exploration |
| B |
Activate menu driven exploration |
| Escape |
Leave exploration mode |
| Cursor down |
Explore next lower level |
| Cursor up |
Explore next upper level |
| Cursor right |
Explore next element on level |
| Cursor left |
Explore previous element on level |
| X |
Toggle expert mode |
| W |
Extra details if available |
| Space |
Repeat speech |
| M |
Activate step magnification |
| Comma |
Activate direct magnification |
| N |
Deactivate magnification |
| Z |
Toggle subtitles |
| C |
Cycle contrast settings |
| T |
Monochrome colours |
| L |
Toggle language (if available) |
| K |
Kill current sound |
| Y |
Stop sound output |
| O |
Start and stop sonification |
| P |
Repeat sonification output |
Other Functions.
Figure A.1.9. Graph of \(y=|x|\)
Figure A.1.10. Graph of \(y=\sqrt{x}\)
Diagram Exploration Keyboard Controls
| Key |
Action |
| Enter, A |
Activate keyboard driven exploration |
| B |
Activate menu driven exploration |
| Escape |
Leave exploration mode |
| Cursor down |
Explore next lower level |
| Cursor up |
Explore next upper level |
| Cursor right |
Explore next element on level |
| Cursor left |
Explore previous element on level |
| X |
Toggle expert mode |
| W |
Extra details if available |
| Space |
Repeat speech |
| M |
Activate step magnification |
| Comma |
Activate direct magnification |
| N |
Deactivate magnification |
| Z |
Toggle subtitles |
| C |
Cycle contrast settings |
| T |
Monochrome colours |
| L |
Toggle language (if available) |
| K |
Kill current sound |
| Y |
Stop sound output |
| O |
Start and stop sonification |
| P |
Repeat sonification output |
Exponential and Logarithmic Functions.
Figure A.1.11. Graph of \(y=b^x\text{,}\) with \(b=2\)
Figure A.1.12. Graph of \(y=\log_b x\text{,}\) with \(b=2\)
Figure A.1.13. Graph of \(y=e^x\)
Figure A.1.14. Graph of \(y=\ln x\)
Diagram Exploration Keyboard Controls
| Key |
Action |
| Enter, A |
Activate keyboard driven exploration |
| B |
Activate menu driven exploration |
| Escape |
Leave exploration mode |
| Cursor down |
Explore next lower level |
| Cursor up |
Explore next upper level |
| Cursor right |
Explore next element on level |
| Cursor left |
Explore previous element on level |
| X |
Toggle expert mode |
| W |
Extra details if available |
| Space |
Repeat speech |
| M |
Activate step magnification |
| Comma |
Activate direct magnification |
| N |
Deactivate magnification |
| Z |
Toggle subtitles |
| C |
Cycle contrast settings |
| T |
Monochrome colours |
| L |
Toggle language (if available) |
| K |
Kill current sound |
| Y |
Stop sound output |
| O |
Start and stop sonification |
| P |
Repeat sonification output |
Trigonometric Functions.
Figure A.1.15. Graph of \(y=\sin(x)\)
Figure A.1.16. Graph of \(y=\csc x\)
Figure A.1.17. Graph of \(y=\cos x\)
Figure A.1.18. Graph of \(y=\sec x\)
Figure A.1.19. Graph of \(y=\tan x\)
Figure A.1.20. Graph of \(y=\cot x\)
Diagram Exploration Keyboard Controls
| Key |
Action |
| Enter, A |
Activate keyboard driven exploration |
| B |
Activate menu driven exploration |
| Escape |
Leave exploration mode |
| Cursor down |
Explore next lower level |
| Cursor up |
Explore next upper level |
| Cursor right |
Explore next element on level |
| Cursor left |
Explore previous element on level |
| X |
Toggle expert mode |
| W |
Extra details if available |
| Space |
Repeat speech |
| M |
Activate step magnification |
| Comma |
Activate direct magnification |
| N |
Deactivate magnification |
| Z |
Toggle subtitles |
| C |
Cycle contrast settings |
| T |
Monochrome colours |
| L |
Toggle language (if available) |
| K |
Kill current sound |
| Y |
Stop sound output |
| O |
Start and stop sonification |
| P |
Repeat sonification output |
Inverse Trigonometric Functions.
Figure A.1.21. Graph of \(y=\sin^{-1}(x)\)
Figure A.1.22. Graph of \(y=\csc^{-1}(x)\)
Figure A.1.23. Graph of \(y=\cos^{-1}(x)\)
Figure A.1.24. Graph of \(y=\sec^{-1}(x)\)
Figure A.1.25. Graph of \(y=\tan^{-1}(x)\)
Figure A.1.26. Graph of \(y=\cot^{-1}(x)\)
Diagram Exploration Keyboard Controls
| Key |
Action |
| Enter, A |
Activate keyboard driven exploration |
| B |
Activate menu driven exploration |
| Escape |
Leave exploration mode |
| Cursor down |
Explore next lower level |
| Cursor up |
Explore next upper level |
| Cursor right |
Explore next element on level |
| Cursor left |
Explore previous element on level |
| X |
Toggle expert mode |
| W |
Extra details if available |
| Space |
Repeat speech |
| M |
Activate step magnification |
| Comma |
Activate direct magnification |
| N |
Deactivate magnification |
| Z |
Toggle subtitles |
| C |
Cycle contrast settings |
| T |
Monochrome colours |
| L |
Toggle language (if available) |
| K |
Kill current sound |
| Y |
Stop sound output |
| O |
Start and stop sonification |
| P |
Repeat sonification output |
