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Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x-3\rfloor), what is the correct statement about (f)?
Class 12 · Mathematics · Medium
→If (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), why is it not onto?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), what is the correct statement?
Class 12 · Mathematics · Medium
→If (f:[1,\infty)\to[0,\infty)), (f(x)=\sqrt{x-1}), then (f) is onto because which preimage gives (y)?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to(-1,1)), (f(x)=\frac{x}{1+|x|}), choose the correct option.
Class 12 · Mathematics · Medium
→If (f:A\to B) is onto and (B={2,4,6,8}), what is (f(A))?
Class 12 · Mathematics · Medium
→If (A) has (2) elements and (B) has (5) elements, what is the number of onto functions from (A) to (B)?
Class 12 · Mathematics · Medium
→If (A) has (3) elements and (B) has (3) elements, how many onto functions are there from (A) to (B)?
Class 12 · Mathematics · Medium
→If (A) has (4) elements and (B) has (2) elements, how many onto functions are there from (A) to (B)?
Class 12 · Mathematics · Medium
→If (A={1,2,3,4,5}), (B={a,b,c,d}), and (f={(1,a),(2,b),(3,c),(4,a),(5,b)}), why is (f) not onto?
Class 12 · Mathematics · Medium
→If (A={1,2,3,4}), (B={p,q,r}), and (f={(1,p),(2,q),(3,r),(4,q)}), what is correct about (f:A\to B)?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to[-2,2]), (f(x)=2\cos x), what is the correct statement about (f)?
Class 12 · Mathematics · Medium
→If (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), which statement is correct?
Class 12 · Mathematics · Medium
→If (f:[0,\frac{\pi}{2}]\to[-1,1]), (f(x)=\sin x), why is (f) not onto?
Class 12 · Mathematics · Medium
→If (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the main reason that (f) is onto?
Class 12 · Mathematics · Medium
→If (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3-3x), why is (f) not onto?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), what is correct about onto nature?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+1), why is (f) not onto?
Class 12 · Mathematics · Medium
→If (f:\mathbb{R}\to[1,\infty)), (f(x)=x^4+1), what is the correct statement about (f)?
Class 12 · Mathematics · Medium
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