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Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\cos x), then (f) is not one-one. Which example is correct?

Class 12 · Mathematics

If (f:[0,\pi]\to\mathbb{R}), (f(x)=\cos x), what is the one-one status of (f)?

Class 12 · Mathematics

Choose the correct statement for \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to\mathbb{R}\), \(f(x)=\sin x\).

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=7-2x), what is the one-one nature of (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), then (f) is not one-one. Which reason is correct?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+7), choose the correct statement about (f).

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+7), why is (f) not one-one?

Class 12 · Mathematics

If (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x^2}), which statement is correct?

Class 12 · Mathematics

If (f:(0,\infty)\to\mathbb{R}), (f(x)=\frac{1}{x}), what is the correct statement about (f)?

Class 12 · Mathematics

Is the function (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^2), one-one?

Class 12 · Mathematics

Which option is correct for the function (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+3)?

Class 12 · Mathematics

If (A={a,b,c}) and (f:A\to A), (f={(a,b),(b,c),(c,a)}), choose the correct statement about (f).

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

For the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), which option is correct?

Class 12 · Mathematics

Choose the correct statement for the function (f:[0,\infty)\to\mathbb{R}), (f(x)=x^2).

Class 12 · Mathematics

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