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Class 12 · Mathematics

If (|A|=4) and (|B|=3), how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics

If (|A|=3) and (|B|=6), how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics

If (f:\mathbb{N}\to\mathbb{N}) and (f(n)=2n+5), which statement about (f) is correct?

Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^2-1), is (f) one-one?

Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^3), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\lfloor x\rfloor), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), which pair shows that (f) is not one-one?

Class 12 · Mathematics

If (f:[0,\pi]\to[-1,1]) and (f(x)=\cos x), which statement about (f) is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not one-one?

Class 12 · Mathematics

If (f:[0,\infty)\to[3,\infty)) and (f(x)=2x^2+3), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^2+3), which statement is correct for (f)?

Class 12 · Mathematics

If (f:[1,\infty)\to\mathbb{R}) and (f(x)=x+\frac{1}{x}), which statement about (f) is correct?

Class 12 · Mathematics

If \(f:(0,\infty)\to\mathbb{R}\) and \(f(x)=x+\frac{1}{x}\), is (f) one-one?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), which pair breaks one-one property?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+2x), which statement about (f) is correct?

Class 12 · Mathematics

If (f:\mathbb{R}-{-3}\to\mathbb{R}) and (f(x)=\frac{2x-1}{x+3}), what conclusion follows from (f(a)=f(b))?

Class 12 · Mathematics

If (f:\mathbb{R}-{2}\to\mathbb{R}) and (f(x)=\frac{x+1}{x-2}), what type of function is (f)?

Class 12 · Mathematics

If (f:[5,\infty)\to[0,\infty)) and (f(x)=|x-5|), which statement about (f) is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-5|), which pair shows that (f) is not one-one?

Class 12 · Mathematics

If (f:[2,\infty)\to[1,\infty)) and (f(x)=x^2-4x+5), what type of function is (f)?