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Class 12 · Mathematics

If (f:A\to B) is one-one, what can be said about the number of elements in the range of (f)?

Class 12 · Mathematics

If (|A|=4) and (|B|=2), how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (|A|=2) and (|B|=4), how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics

In counting one-one functions, how are images chosen for each element of (A)?

Class 12 · Mathematics

If (f:[0,\pi]\to[-1,1]) and (f(x)=\cos x), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), which statement about one-one property is correct?

Class 12 · Mathematics

If \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) and \(f(x)=\sin x\), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), is (f) one-one?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+4x+4), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3-1), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+2), what type of function is (f)?

Class 12 · Mathematics

What is the best algebraic method to identify a one-one function?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x), which simple pair breaks one-one property?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5x), why is (f) one-one?

Class 12 · Mathematics

If a function has the same image for two different inputs, what type of function will it be?

Class 12 · Mathematics

If (f:{1,2,3,4}\to{a,b,c,d}) has distinct images (a,b,c,d), what type of function is (f)?