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Class 11 · Mathematics · Hard
→Let (A={1,2,3,4}) and (B={a,b,c}). How many functions satisfy (f(1)=f(2)=f(3))?
Class 11 · Mathematics · Hard
→If (f:\mathbb{Z}\to\mathbb{Z}), (f(x)=x+5), which statement is correct about (f)?
Class 11 · Mathematics · Hard
→Which relation is a function from (A={-1,0,1}) to (B={0,1})?
Class 11 · Mathematics · Medium
→Let f:{1,2,3}→{2,3,4}, f(x)=x+1, and g:{1,2,3}→{2,3,4,5}, g(x)=x+1. Are f and g equal functions?
Class 11 · Mathematics · Hard
→Let \(A=\{1,2,3,4\}\) and define \(f:A\to\mathbb{Z}\) by \(f(x)=(-1)^x\). What is the range of \(f\)?
Class 11 · Mathematics · Easy
→If in an arrow diagram of a relation, one element of A points to two different elements of B, what is the conclusion?
Class 11 · Mathematics · Hard
→Let (A={1,2,3}) and (B={0,1}). How many functions from (A) to (B) have range exactly ({0,1})?
Class 11 · Mathematics · Hard
→If (R={(x,y)\in\mathbb{R}\times\mathbb{R}:x=y^3}) is considered as a relation from (\mathbb{R}) to (\mathbb{R}), is it a function?
Class 11 · Mathematics · Hard
→If (f:{1,2,3,4,5}\to\mathbb{N}), where (f(x)) is the number of factors of (x), what is (f(4))?
Class 11 · Mathematics · Hard
→Why is writing (f(x)=x) not a valid function from (A={1,2,3,4}) to (B={1,2,3})?
Class 11 · Mathematics · Hard
→In which situation will a relation (R\subseteq A\times B) fail to be a function?
Class 11 · Mathematics · Hard
→If (A={1,2,3}) and (B={a,b,c}), how many functions satisfy (f(1)=a) and (f(2)\neq a)?
Class 11 · Mathematics · Medium
→Let A={0,1,2,3} and f(x)=x²−3x+2. Which ordered pair will not be in the graph of f?
Class 11 · Mathematics · Hard
→Which statement is correct about the relation (R={(x,y)\in\mathbb{R}\times\mathbb{R}:y=|x|})?
Class 11 · Mathematics · Hard
→If (A={1,2,3,4}) and (B={0,1}), how many functions from (A) to (B) have the same image for (1) and (2)?
Class 11 · Mathematics · Hard
→Which relation is a function from (\mathbb{R}) to (\mathbb{R})?
Class 11 · Mathematics · Hard
→If (f:A\to B) and (g:A\to B) are functions and (f(x)=g(x)) for every (x\in A), what is the correct conclusion?
Class 11 · Mathematics · Hard
→Let (A={1,2,3}), (B={2,4,6,8}), and (f(x)=2x). What is the difference between codomain and range?
Class 11 · Mathematics · Hard
→If \(f:\{1,2,3\}\to\{0,1,2,3\}\) and \(f(x)=x-1\), which of the following is the graph of \(f\)?
Class 11 · Mathematics · Hard
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