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Class 11 · Mathematics

If (R={(1,a),(2,a),(3,a),(4,a)}) is considered from (A={1,2,3,4}) to (B={a,b}), what is (R) an example of?

Class 11 · Mathematics

If (A={1,2,3}), (B={1,4,9,16}), and (f(x)=x^2), which element is in the codomain but not in the range?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5,6,7}), how many ordered pairs will a function from (A) to (B) have?

Class 11 · Mathematics

If \(f:\{1,2,3\}\to\{2,5,10\}\) is defined by \(f(x)=x^2+1\), what is the value of \(f(3)\)?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\), \(B=\{0,1\}\), and the function \(f:A\to B\) is defined by \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the value of \(f(4)\)?

Class 11 · Mathematics

If (A={1,2,3}), (B={p,q,r}), and (R={(1,p),(2,q),(2,r),(3,p)}), why is (R) not a function?

Class 11 · Mathematics

If (A={a,b,c}) and (B={1,2}), how many functions are there from (A) to (B)?

Class 11 · Mathematics

If A = {0, 1, 2}, B = {1, 2, 3, 4}, and f(x) = x + 2, which ordered pair does not belong to f?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={2,3,4,5}), which rule is represented by the relation (R={(1,2),(2,3),(3,4),(4,5)})?

Class 11 · Mathematics

If (A={-1,0,1,2}) and (B={0,1,4}), and (f(x)=x^2), what is the range of (f)?

Class 10 · Mathematics

If the two roots of (x^2-2(a+b)x+4ab=0) are equal, which of the following relations must be true?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={0,1,2}), and (f(x)) is the remainder obtained when (x) is divided by (3), what is the range of (f)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={a,b,c}), how many ordered pairs must a relation have at minimum to be a function from (A) to (B)?

Class 11 · Mathematics

If (f:{1,2,3}\to{1,4,9,16}) and (f(x)=x^2), which element is in the codomain but not in the range?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5,6}), which is a one-one type function from (A) to (B)?

Class 11 · Mathematics

If (f:{1,2,3}\to{0,1}) is defined by (f(x)=0) for all (x\in{1,2,3}), what is the range of (f)?

Class 11 · Mathematics

If (f={(1,a),(2,a),(3,b)}), why is the reversed relation ({(a,1),(a,2),(b,3)}) not a function?

Class 11 · Mathematics

If (A={1,2,3}), (B={2,4,6}), and (f={(1,2),(2,4),(3,6)}), is the reversed relation like (f^{-1}={(2,1),(4,2),(6,3)}) a function from (B) to (A)?

Class 11 · Mathematics

If \(f:\{1,2,3,4\}\to\{1,2,3\}\) is defined by \(f=\{(1,1),(2,2),(3,3),(4,3)\}\), which of the following statements is correct?

Class 11 · Mathematics

If (A={1,2,3}) and (B={2,3,4}), why is (R={(1,2),(2,3),(3,4),(1,2)}) a function?