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ISC Class 12 Maths Project: Graphical Demonstration of a One-One but Not Onto Function Explanation
ISC Class 12 Maths Project
Graphical Demonstration of a One-One but Not Onto Function
Dear students,
In this project we uses clear, step-by-step graphs to show a function that is injective (one-one) but not surjective (onto). Learn how the horizontal line test and its “reverse view” verify these properties, see why an exponential function is naturally one-one but misses parts of its codomain, and discover how restricting the domain of 𝑓(𝑥)=sinx makes it one-one. Real-world analogies—like ATM PIN systems and vehicle registration—bring theory to life.
🔗 Download the free project PDF:https://drive.google.com/file/d/1MbdzYRVVOlu1Mkfm2ugbFT61WOCA9l36/view?usp=sharing
📺 Watch the full “Maths Projects” playlist: http://https://youtube.com/playlist?list=PLl5ZLv4eREvB8LR2QMK23pxReJWI6lSPA&si=TtDTXaMRNFZbDkpt
👍 If you find this helpful, Like, Share, and Subscribe for more ISC Class 12 Maths projects and solutions!
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#cisceclassvideos
Видео ISC Class 12 Maths Project: Graphical Demonstration of a One-One but Not Onto Function Explanation канала cisceclass videos
Graphical Demonstration of a One-One but Not Onto Function
Dear students,
In this project we uses clear, step-by-step graphs to show a function that is injective (one-one) but not surjective (onto). Learn how the horizontal line test and its “reverse view” verify these properties, see why an exponential function is naturally one-one but misses parts of its codomain, and discover how restricting the domain of 𝑓(𝑥)=sinx makes it one-one. Real-world analogies—like ATM PIN systems and vehicle registration—bring theory to life.
🔗 Download the free project PDF:https://drive.google.com/file/d/1MbdzYRVVOlu1Mkfm2ugbFT61WOCA9l36/view?usp=sharing
📺 Watch the full “Maths Projects” playlist: http://https://youtube.com/playlist?list=PLl5ZLv4eREvB8LR2QMK23pxReJWI6lSPA&si=TtDTXaMRNFZbDkpt
👍 If you find this helpful, Like, Share, and Subscribe for more ISC Class 12 Maths projects and solutions!
cisceclass videos
#cisceclassvideos
Видео ISC Class 12 Maths Project: Graphical Demonstration of a One-One but Not Onto Function Explanation канала cisceclass videos
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8 июля 2025 г. 20:45:24
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