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Class 11 · Mathematics

If (A={1,2,3}), (B={2,3,4,5}), and (f(x)=x+1), which statement about (5) is correct?

Class 11 · Mathematics

If f:{1,2,3}→{1,8,27} is defined by f(x)=x³, which are the ordered pairs of f?

Class 11 · Mathematics

If \(f:\{0,1,2,3\}\to\{0,1,4,9\}\) and \(f(x)=x^2\), which of the following ordered pairs does not belong to \(f\)?

Class 11 · Mathematics

If \(f:\{1,2,3,4\}\to\{1,3,5,7\}\) is defined by \(f(x)=2x-1\), what is the value of \(f(4)\)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2}), how many choices are there for each domain element while forming a function from (A) to (B)?

Class 11 · Mathematics

If (A={1,2,3}), (B={2,4,6,8}), and (f(x)=2x), what is true about (8)?

Class 11 · Mathematics

If \(f(5)=12\), what is 12 called with respect to 5?

Class 11 · Mathematics

If f(a)=b, what is a called for b?

Class 11 · Mathematics

If (f:{1,2,3}\to{7,8}) is defined by (f(x)=7) for all (x), what is the range of (f)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={p,q,r}), which relation is a one-one function?

Class 11 · Mathematics

If (f={(1,a),(2,a),(3,b),(4,b)}), what simple type of example is (f)?

Class 11 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(x)=x^2), which statement is correct?

Class 11 · Mathematics

If A={1,2,3} and f(x)=x²+1, to which codomain can f be considered a function from A?

Class 11 · Mathematics

If (f:{1,2,3}\to{1,2,3}) is defined by (f(x)=x+1), why is it not a function from (A) to (B)?

Class 11 · Mathematics

If the relation \(R=\{(x,y)\mid y=2x+1,\ x\in\{0,1,2\}\}\), which of the following is the set of ordered pairs in \(R\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If the function \(h:\{1,2,3,4,5\}\to\{0,1\}\) is defined by \(h(x)=0\) when \(x<3\) and \(h(x)=1\) when \(x\geq 3\), what is the value of \(h(3)\)?

Class 11 · Mathematics

If (f:\mathbb{R}\setminus{-3}\to\mathbb{R}) and (f(x)=\frac{1}{x+3}), why is it a function?

Class 11 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{1}{x+3}), why is it not a function on all of (\mathbb{R})?

Class 11 · Mathematics

If one tries to define (f:\mathbb{R}\to\mathbb{R}) by (f(x)=\sqrt{x-1}), why is it not a function on all of (\mathbb{R})?