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Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2), which statement is correct from the function point of view?
Class 11 · Mathematics
→What is the ratio of the number of all functions to the number of all relations from (A={1,2,3}) to (B={4,5})?
Class 11 · Mathematics
→If (f:A\to B) is a function, what kind of subset of (A\times B) must (f) be?
Class 11 · Mathematics
→Let (A={0,1,2}) and (B={1,2,3,4}). Which statement is correct for (R={(0,1),(1,2),(2,3),(2,4)})?
Class 11 · Mathematics
→Which of the following relations from \(A=\{1,2,3\}\) to \(B=\{a,b\}\) is not a function?
Class 11 · Mathematics
→If \(f:\{1,2,3,4\}\to\{0,1\}\) is defined such that \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the range of \(f\)?
Class 11 · Mathematics
→Let (A={1,2,3}), (B={1,4,9}), and (R={(x,y):y=x^2}). Choose the correct option about (R).
Class 11 · Mathematics
→The relation R={(x,y)∈A×B:y=x+1}, where A={1,2,3} and B={2,3,4,5}, is of which type?
Class 11 · Mathematics
→If (f={(a,1),(b,1),(c,2)}), which statement is correct?
Class 11 · Mathematics
→Let A={−2,−1,0,1,2} and f:A→Z be defined by f(x)=x²−1. What is the range of f?
Class 11 · Mathematics
→If (A={1,2}) and (B={3,4,5}), how many relations from all subsets of (A\times B) are functions from (A) to (B)?
Class 11 · Mathematics
→How many functions can be formed from (A={1,2,3}) to (B={a,b,c,d})?
Class 11 · Mathematics
→If (f:A\to B) is a function and (A={p,q,r,s}), how many ordered pairs must the graph of (f) contain at minimum?
Class 11 · Mathematics
→Consider (R={(1,2),(1,3),(2,4)}) from (A={1,2}) to (B={2,3,4}). Why is it not a function?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={4,5}), which statement is correct about (R={(1,4),(2,5),(3,4)})?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={1,4,9,16}), which statement is correct for the relation (R={(x,y):y=x^2})?
Class 11 · Mathematics
→If (R={(x,y):x=|y|,\ x\in{1,2},\ y\in{-2,-1,1,2}}), why is (R) not a function from (A={1,2}) to (B={-2,-1,1,2})?
Class 11 · Mathematics
→If (A={1,2,3}) and (f:A\to A) by (f(x)=4-x), what is (f)?
Class 11 · Mathematics
→If (f:A\to B) and (f(a)=f(b)) for (a\ne b), what conclusion follows?
Class 11 · Mathematics
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