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Class 11 · Mathematics
→If f: ℝ → ℝ is given by f(x) = 1/(x² − 9), what should be the domain to make it a valid real function?
Class 11 · Mathematics
→The function (f:{1,2,3,4}\to\mathbb{N}) is defined by (f(x)=\frac{12}{x}). Which statement is correct?
Class 11 · Mathematics
→Which relation can be called a function from (A={1,2,3}) to (B={4,5,6})?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (f:A\to A) is given by (f(x)=5-x), what is the range of this function?
Class 11 · Mathematics
→The relation (R={(x,y):x=y^2,\ x\in{0,1,4},\ y\in{0,1,2}}) is considered from (X={0,1,4}) to (Y={0,1,2}). What is the correct conclusion?
Class 11 · Mathematics
→If (f:A\to B) is a function and (A={p,q,r,s}), (B={0,1}), how many functions are possible with (f(p)=0) and (f(q)=1)?
Class 11 · Mathematics
→A function (f:\mathbb{R}\to\mathbb{R}) is claimed to be defined by (f(x)=\sqrt{x-2}). Which correction makes it a valid function?
Class 11 · Mathematics
→The relation \(R=\{(x,y): y^2=x,\ x\in X,\ y\in Y\}\) is defined from \(X=\{1,4,9\}\) to \(Y=\{-3,-2,-1,1,2,3\}\). Why is this relation not a function?
Class 11 · Mathematics
→If (A={0,1,2}) and (B={3,4,5}), how many total functions are possible from (A) to (B)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={a,b}), which statement about the relation (R={(1,a),(2,b),(3,a),(2,a)}) is correct?
Class 11 · Mathematics
→If (f:A\to B) with (A=\varnothing) and (B={1,2}), how many functions exist from (A) to (B)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={0,1,2}), how many constant functions are there from (A) to (B)?
Class 11 · Mathematics
→Which statement about a constant function is correct?
Class 11 · Mathematics
→If \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) and \(f(x)=5-x\), which of the following is the graph of \(f\)?
Class 11 · Mathematics
→If (R={(x,y)\in\mathbb{R}\times\mathbb{R}:y=\sqrt{x}}) is considered from (\mathbb{R}) to (\mathbb{R}), why is it not a function?
Class 11 · Mathematics
→Let (A={1,2,3,4}) and (B={a,b,c}). How many functions satisfy (f(1)=f(2)=f(3))?
Class 11 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}), (f(x)=x+5), which statement is correct about (f)?
Class 11 · Mathematics
→Which relation is a function from (A={-1,0,1}) to (B={0,1})?
Class 11 · Mathematics
→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
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