Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Mcq Single Correct #92
The function \(f:\mathbb R\to\mathbb R\), \(f(x)=4^x+4^{|x|}\), is
✅ Step-by-Step Solution
Final Answer: Option (C): Many-one and into
- For \(x<0\), \(f(x)=4^x+4^{-x}\) decreases towards 2; for \(x\ge0\), \(f(x)=2\cdot4^x\) increases from 2. The range is \([2,\infty)\). Also \(f(-1)=17/4=f(\log_4(17/8))\), so the function is many-one and into.
Master Chapter 1: Relations And Functions
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Relations And Functions.
← Previous Question
Which property is guaranteed for \(R_1\cup R_2\) for every pair of…
Next Question →Let \(m\) be a positive integer. On \(\mathbb Z\), define \(aRb\iff…
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…