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How to Determine if a Function is One-to-One Algebraically
ChannelGreeneMath.comDescription from the creator
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In this lesson, we will learn how to determine if a function is one-to-one algebraically. We already learned that a one-to-one function occurs when for each x, there is only one y and for each y, there is only one x. So now we can use this definition to develop a simple test. If f(a) = f(b), this implies that a = b, if the function is one-to-one. So what we can do is plug in an a for x and plug in a b for x and set these two equal to each other. If it turns out that we end up with a = b, then the function is one-to-one.
facebook.com/mathematicsbyjgreene
In this lesson, we will learn how to determine if a function is one-to-one algebraically. We already learned that a one-to-one function occurs when for each x, there is only one y and for each y, there is only one x. So now we can use this definition to develop a simple test. If f(a) = f(b), this implies that a = b, if the function is one-to-one. So what we can do is plug in an a for x and plug in a b for x and set these two equal to each other. If it turns out that we end up with a = b, then the function is one-to-one.
About this tutorial
GreeneMath.com published this 13:57 video tutorial on April 2, 2020. It has been watched 155,065 times on YouTube.
- Channel
- GreeneMath.com
- Category
- Education
- Duration
- 13:57
- Published
- April 2, 2020
- Views
- 155,065
- Likes
- 1,415
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This tutorial in other languages
- FRComment faire pour déterminer si une fonction est un à un Algébriquement
- ESCómo determinar si una función es uno a uno Algebráicamente
- PTComo determinar se uma função é One-to-One algebricamente
- ITCome determinare se una funzione è One-to-One algebricamente
- DEWie man feststellt, ob eine Funktion One-to-One algebraisch ist
- NLHoe om te bepalen of een functie is One-to-One Algebraïsch
- RUКак определить, если функция является один к одному алгебраически
- PLJak sprawdzić, czy funkcja jest One-to-One algebraicznie
- JA機能は、1対1代数的であるかどうかを判断する方法
- ARكيفية تحديد ما إذا كان وظيفة هي واحد الى واحد جبريا
- HIअगर एक समारोह एक-से-एक बीजगणित है कैसे निर्धारित करने के लिए
- IDCara Menentukan jika Fungsi adalah One-to-One aljabar