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Geogebra (Features and Possiblities).pptx
- 1. Geogebra (Features & Possibilities) Kapil Pundir, PGT Maths K.V. Loktak, Manipur 8077291675
- 2. Revision β’ A chapter of Class 11 / 12 is allotted to you. β’ Create a word file in your computer with chapter name as file name β’ Type all the formulas of given chapter in your word file. β’ Also mention your name and KV in file.
- 4. GEOmetry + alGEBRA Started by Markus Hohenwarter in 2001 as part of his master's thesis at the University of Salzburg, Austria In December, 2021 acquired by Byjuβs India in $100 million. Open Source Software Free to use
- 5. Basic Features of Geogebra Download & Install Geogebra Possibilities Of Geogebra Table of Content
- 11. Area Under Curve
- 12. Continuity
- 14. WWW.GEOGEBRA.ORG
- 16. Steps for Downloading Geogebra (Android) Play Store Geogebra Suite Install
- 17. Steps for Downloading Geogebra (Windows) www.Geogebra.org App Downloads Calculator Suite Download Install
- 22. How to useTools
- 23. Starting with basics β’ Graph of functions β’ Trace of functions β’ Vertical line test for function (and finding its domain) β’ Inverse of graph by reflecting about the line β’ Combination of functions β’ Shifting expansion and contraction of graph β’ Even and Odd functions β’ Horizontal line test for injective function (and finding its range)
- 24. Graph of functions β’ Go to Algebra view β’ Type the function in input Try yourself β’ Construct the graph of following functions β’ 1. π₯3 β’ 2. |π₯| β’ 3. 1 π₯ β’ 4. sin(π₯)
- 25. Trace of functions β’ β’ Define a slider a β’ β’ In input box type (π, π2) β’ β’ Apply enter key β’ β’Then you will get a pointA, right click on it β’ β’ Select trace on β’ β’ Right click on slider a β’ β’ Select animation Try yourself β’ Construct the graph of following functions, using trace of a point input method β’ 1. π₯3 β’ 2. |π₯| β’ 3. 1 π₯ β’ 4. sin(π₯)
- 26. Vertical line test for function (and finding its domain) β’ Draw graph of a function β’ Make a point A on X axis β’ Make line at point A perpendicular to X axis β’ Make intersection of function and line β’ Check it for circle and check is it a function Try yourself β’ Construct the graph of following functions, and use vertical line test β’ 1. π₯3 β’ 2. |π₯| β’ 3. 1 π₯ β’ 4. sin(π₯)
- 27. Inverse of graph by reflecting about the line β’ Draw graph of a function β’ Make line π¦ = π₯ β’ In tools menu, Select reflect about line option β’ Click on function and then line of reflection Try yourself β’ Construct the graph of following functions, and try to find inverse β’ 1. π₯3 β’ 2. |π₯| β’ 3. ππ₯ β’ 4. sin(π₯)
- 28. Combination of functions β’ Make two functions f and g β’ In algebra view, type π π π₯ and π(π π₯ ) Try yourself β’ Construct the graph of following functions, and try to find π π π₯ and π(π π₯ ) β’ 1. π π₯ = π₯2, π π₯ = cos π₯ β’ 2. π π₯ = 2π₯ + 3, π π₯ = π₯β3 2
- 29. Shifting, expansion and contraction of graph β’ Draw graph of a function f(x) β’ Make a slider π β’ Make function π Γ π π₯ , π π₯ + π, π π₯ + π β’ Observe the function while changing the value of slider. Try yourself β’ Construct the graph of following functions, and try Shifting, expansion and contraction β’ 1. π₯3 β’ 2. |π₯| β’ 3. ππ₯ β’ 4. sin(π₯)
- 30. Even and Odd functions β’ Draw graph of a function f(x) β’ Draw function f(-x) β’ Observe the relation between f(x) and f(-x) Try yourself β’ Construct the graph of following functions, and try Shifting, expansion and contraction β’ 1. π₯3 β’ 2. |π₯| β’ 3. ππ₯ β’ 4. sin(π₯) β’ Try some other even, odd functions
- 31. Horizontal line test for injective function (and finding its range) β’ Draw graph of a function β’ Make a point A on X axis β’ Make line at point A perpendicular to X axis β’ Make intersection of function and line β’ Check it for circle and check is it a funciton Try yourself β’ Construct the graph of following functions, and try Shifting, expansion and contraction β’ 1. π₯3 β’ 2. |π₯| β’ 3. ππ₯ β’ 4. sin(π₯)
- 32. For all Geogebra files β’ Go to website www.sajhishiksh.in
- 33. Kapil Pundir, PGT Maths K.V. Loktak, Manipur 8077291675