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Class 12 · Mathematics · Hard
→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 · Hard
→Which statement is correct about the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x)?
Class 12 · Mathematics · Hard
→If (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+7), choose the correct statement about (f).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+7), why is (f) not one-one?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x^2}), which statement is correct?
Class 12 · Mathematics · Hard
→If (f:(0,\infty)\to\mathbb{R}), (f(x)=\frac{1}{x}), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→Is the function (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^2), one-one?
Class 12 · Mathematics · Hard
→Which option is correct for the function (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+3)?
Class 12 · Mathematics · Hard
→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 · Hard
→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 · Hard
→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 · Hard
→For the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), which option is correct?
Class 12 · Mathematics · Hard
→Choose the correct statement for the function (f:[0,\infty)\to\mathbb{R}), (f(x)=x^2).
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|), which pair shows that (f) is not one-one?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-4), what type of function is (f)?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+1), why is (f) not one-one?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=3x-7), which statement about (f) is correct?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\setminus{-1}\to\mathbb{R}) is defined by (f(x)=\frac{x-1}{x+1}), choose the correct statement about (f).
Class 12 · Mathematics · Hard
→What is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{1+|x|})?
Class 12 · Mathematics · Hard
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