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Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If (A={1,2,3,4,5}), (B={0,1}), and (f(x)) is (1) when (x) is odd and (0) when (x) is even, what is the range of (f)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={2,4,6}), which element breaks the function condition in (R={(1,2),(2,4),(3,6),(3,4)})?

Class 11 · Mathematics

If (f:\mathbb{R}\setminus{2}\to\mathbb{R}) and (f(x)=\frac{1}{x-2}), why is it a function?

Class 11 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{1}{x-2}), why is it not a function on all of (\mathbb{R})?

Class 11 · Mathematics

If f: ℝ → ℝ is defined by f(x) = |x|, which statement is correct?

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}) and (B={1,2,3,4}), and (f(x)=x+2), which ordered pair will not be in (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)?