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Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(x)=2x), what type is (f)?

Class 12 · Mathematics

If (f:\mathbb{N}\to\mathbb{N}) is defined by (f(x)=x+2), is (f) one-one?

Class 12 · Mathematics

Why is the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x|), not one-one?

Class 12 · Mathematics

Which function from (\mathbb{R}) to (\mathbb{R}) is one-one?

Class 12 · Mathematics

For (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+1), if (f(a)=f(b)), what is the next correct step?

Class 12 · Mathematics

If (A={1,2,3}) and (f:A\to A) has (f(1)=1), (f(2)=1), (f(3)=3), which option is correct for (f)?

Class 12 · Mathematics

If (A={1,2,3}) and (f:A\to A) has (f(1)=2), (f(2)=3), (f(3)=1), what type is (f)?

Class 12 · Mathematics

Choose the correct statement for the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=7).

Class 12 · Mathematics

Let \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Which of the following functions \(f:A\to B\) is one-one?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2), why is it not one-one?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x+5), which statement about (f) is correct?

Class 12 · Mathematics

If (f:{1,2,3,4}\to{5,6,7,8}) and (f={(1,5),(2,7),(3,6),(4,7)}), which statement about (f) is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=6-2x), what type of function is (f)?

Class 12 · Mathematics

Which function is one-one on real numbers?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x+5), is (f) one-one?

Class 12 · Mathematics

If (f:\mathbb{R}-{0}\to\mathbb{R}-{0}) and (f(x)=\frac{1}{x}), what type of function is (f)?

Class 12 · Mathematics

If (f(x)=\frac{x+1}{2}), is (f) one-one?

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)?