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Misc 4 - Chapter 2 Class 11 Relations and Functions
Last updated at April 16, 2024 by Teachoo
Finding Domain and Range - General Method
Chapter 2 Class 11 Relations and Functions
Concept wise
- Finding Cartesian Product
- Equality of 2 ordered pairs
- Number of elements
- Operations on sets+ cartesian product
- Relations - Definition
- Finding Relation - Set-builder form given
- Finding Relation - Arrow Depiction given
- Number of Relations
- Functions - Definition
- Finding values at certain points
- Different Functions and their graphs
- Finding Domain and Range - By drawing graphs
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Finding Domain and Range - General Method
- Algebra of real functions
Transcript
Misc 4 Find the domain and the range of the real function f defined by. f(x) = √((𝑥−1)) It is given that the function is a real function. Hence, both its domain and range should be real numbers x can be a number greater 1 Here, f(x) is always positive, Minimum value of f(x) is 0, Maximum can be any value Hence, value of domain (x) should be atleast 1 and will go on till infinity Hence, Domain = [1,∞) Similarly, value of range (f(x)) will be atleast 0 and will go on till infinity Hence, Range = [0, ∞)
