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Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3-n), why is (f) not one-one?
Class 12 · Mathematics
→Choose the correct statement for (f:\mathbb{N}\to\mathbb{N}), (f(n)=2n-1).
Class 12 · Mathematics
→If (f:[-1,1]\to[0,\pi]), (f(x)=\arccos x), which option is correct about (f)?
Class 12 · Mathematics
→What is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=\arctan x)?
Class 12 · Mathematics
→If (f:[0,\frac{\pi}{2}]\to\mathbb{R}), (f(x)=\sin x+\cos x), on which subinterval is (f) one-one?
Class 12 · Mathematics
→Why is (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x+\cos x), not one-one on all of (\mathbb{R})?
Class 12 · Mathematics
→If (f:(-\infty,5]\to[0,\infty)), (f(x)=\sqrt{5-x}), what is the correct conclusion about (f)?
Class 12 · Mathematics
→Choose the correct option for (f:[-3,\infty)\to\mathbb{R}), (f(x)=\sqrt{x+3}).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-|x|), which statement is correct?
Class 12 · Mathematics
→What is the correct reason that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+|x|), is not one-one?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+|x|), what is the correct statement about (f)?
Class 12 · Mathematics
→On which interval is (f:(0,\infty)\to\mathbb{R}), (f(x)=x+\frac{1}{x}), one-one?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4-2x^2), which example correctly shows that (f) is not one-one?
Class 12 · Mathematics
→Which option is correct about the one-one nature of (f:\mathbb{R}\setminus{2}\to\mathbb{R}), (f(x)=\frac{x^2-4}{x-2})?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{3x-2}{x+5}) and (x\ne-5), what is correct about the one-one nature of (f)?
Class 12 · Mathematics
→Among one-one functions from (A={1,2,3,4}) to (B={5,6,7,8,9}), if the image of (1) is fixed as (5), how many such functions are possible?
Class 12 · Mathematics
→If (A) has (6) elements and (B) has (8) elements, what is the number of one-one functions from (A) to (B)?
Class 12 · Mathematics
→On which interval will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-8x+13), not be one-one?
Class 12 · Mathematics
→If (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+6), choose the correct statement.
Class 12 · Mathematics
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