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Misc 6 - 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 6 Let f = {("x, " 𝑥2/(1+𝑥2)) : x ∈ R } be a function from R into R. Determine the range of f. f = { ("x , " 𝑥2/(1+𝑥2)) : x ∈ R } We find different values of 𝑥2/(1 + 𝑥2) for different values of x Domain Value will always be between 0 & 1 We note that Value of range y = 𝑥2/(1 + 𝑥2) is always positive Also, it is always between 0 and 1 Hence, Range is any positive integer between 0 and 1 with 0 included Thus, Range of f = [0, 1)
