Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Mcq Single Correct #35
\(f(x)=x+\sqrt{x^2}\) is a function from \(\mathbb{R}\to\mathbb{R}\). Then \(f(x)\) is
✅ Step-by-Step Solution
Final Answer: Option (D): None of these
- \(f(x)=x+|x|\) is 0 for \(x\le0\) and \(2x\) for \(x>0\). It is not injective and its range is \([0,\infty)\), so it is not surjective onto \(\mathbb{R}\).
Master Chapter 1: Relations And Functions
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Relations And Functions.
← Previous Question
Which one of the following is a bijective function on the set of…
Next Question →Let \(A=\{1,2,3,4\}\) and \(R=\{(2,2),(3,3),(4,4),(1,2)\}\) be a…
More Practice Questions in Relations And Functions
Related Questions in Relations And Functions
Class 12 Relations And Functions · Mcq Single Correct
Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the minimum number of…
Class 12 Relations And Functions · Mcq Single Correct
The function \(f:\mathbb{R}\to\mathbb{R}\) defined by \(f(x)=e^x\) is
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to\mathbb{R}\)…
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to S\), defined by \(f(x)=\sin x-\sqrt{3}\cos x+1\), is onto, then the…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Then the number of bijective functions from \(A\) to…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A\) and \(B\) be two finite sets having \(m\) and \(n\) elements respectively. Then the…