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Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=5x), what follows from (f(a)=f(b))?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+4), why is (f) not one-one?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=-3x+2), what is the nature of (f)?

Class 12 · Mathematics

Which of the following statements is always true for a one-one function?

Class 12 · Mathematics

If (f:{1,2,3}\to{4,5,6}) is one-one, what is true about (f(1)), (f(2)), (f(3))?

Class 12 · Mathematics

If (f:\mathbb{R}^{+}\to\mathbb{R}^{+}), (f(x)=x^2), where (\mathbb{R}^{+}) is the set of positive real numbers, what type is (f)?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=1-x), what is the correct conclusion about one-one property?

Class 12 · Mathematics

What is the correct statement about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3)?

Class 12 · Mathematics

If (f:{1,2}\to{3,4,5}) has (f(1)=3) and (f(2)=4), choose the correct statement for (f).

Class 12 · Mathematics

If (f:{1,2,3,4}\to{a,b,c}) is one-one, is it possible?

Class 12 · Mathematics

If (f:{2,4,6}\to{1,3,5,7}) has (f(2)=1), (f(4)=3), (f(6)=5), what is (f)?

Class 12 · Mathematics

Which is the correct definition of a one-one function?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=0x+4), what is the correct statement about (f)?

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)?