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Class 12 · Mathematics

In which situation will a function (f:A\to B) definitely not be one-one?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x+1}{2}), what is the correct statement about (f)?

Class 12 · Mathematics

If (A) has (6) elements and (B) has (4) elements, which statement is correct for a one-one function (A\to B)?

Class 12 · Mathematics

If (A) has (5) elements and (B) has (7) elements, what can be said about a one-one function from (A) to (B)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-1|), then (f) is not one-one because:

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+10), what does comparing (f(4)) and (f(5)) show?

Class 12 · Mathematics

What type is the identity function (I_A:A\to A), (I_A(x)=x)?

Class 12 · Mathematics

If (f:{1,2,3}\to{p,q,r}) has (f(1)=p), (f(2)=q), (f(3)=q), which statement is correct?

Class 12 · Mathematics

Which of the following functions is not one-one on (\mathbb{R}\to\mathbb{R})?

Class 12 · Mathematics

If a function gives the same output for two different inputs, what type of function is it?

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)?