Question
Prove that a strictly decreasing function is always one-one
Answer :
Word Count : 186
____ ____ ____ ______ ______ _______.
___ ____ ______ _______ __________.
________ ___ _______ _______ _____ __________ _______ ____ ___ ______ _________.
_______ ____ ____ _____ ______ _______.
__________ ______ _________ ________ ________ _________ _______.
___ ____ ____ ____ __________ ____ ________ __________ ______.
______ _______ _________ ______ ________ ________.
_______ _________ ___ ____ __________ _____ __________.
___ ____ ________ _____ ___ ____ __________ ____.
__________ __________ _____ ________ ___.
__________ ___ _____ ________ _________ _________ ______ _________ ___.
________ ________ ____ ____ __________.
_______ ___ _________ ____ ___ _____ _____ ____ __________ _____.
___ _____ ____ ______ ______ _________ __________ _______.
__________ _____ ____ __________ ______ ________ _______ __________ _____.
__________ __________ _________ _______ _____ ___ ________ _______ _______ _______ ________ __________.
Skip in 10
In real analysis, to prove that a strictly decreasing function is always one-to-one (injective), you can use the definition of a strictly decreasing function and the definition of a one-to-one function. A function \(f: A \to B\) is strictly decreasing if, for all \(x, y \in A\) with \(x < y\), we have \(f(x) > f(y)\). To prove that a strictly decreasing function
___ ____ ______ _______ __________.
________ ___ _______ _______ _____ __________ _______ ____ ___ ______ _________.
_______ ____ ____ _____ ______ _______.
__________ ______ _________ ________ ________ _________ _______.
___ ____ ____ ____ __________ ____ ________ __________ ______.
______ _______ _________ ______ ________ ________.
_______ _________ ___ ____ __________ _____ __________.
___ ____ ________ _____ ___ ____ __________ ____.
__________ __________ _____ ________ ___.
__________ ___ _____ ________ _________ _________ ______ _________ ___.
________ ________ ____ ____ __________.
_______ ___ _________ ____ ___ _____ _____ ____ __________ _____.
___ _____ ____ ______ ______ _________ __________ _______.
__________ _____ ____ __________ ______ ________ _______ __________ _____.
__________ __________ _________ _______ _____ ___ ________ _______ _______ _______ ________ __________.
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.