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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x+1,&x<1\x^2+2,&x\geq1\end{cases}), which statement about the range of (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^3-6x^2+12x+1), which statement about (f) is correct?
Class 12 · Mathematics
→Which of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one but not onto?
Class 12 · Mathematics
→If \(f:\mathbb{R}\to\mathbb{R}\) is given by \(f(x)=\frac{x}{1+x^2}\), what is the range of (f)?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (B={a,b}), how many functions from (A) to (B) are not onto?
Class 12 · Mathematics
→If (A={1,2,3}), how many functions from (A) to (A) are not one-one?
Class 12 · Mathematics
→If (A) has (n) elements, how many bijective functions are there from (A) to (A)?
Class 12 · Mathematics
→If (f:A\to B) is bijective and (A) has (6) elements, how many elements does (B) have?
Class 12 · Mathematics
→If (f:A\to B) is a function and (f^{-1}) is also a function, which statement about (f) is definitely true?
Class 12 · Mathematics
→If (f:[0,\pi]\to[-1,1]) is given by (f(x)=\cos x), what is (f^{-1}(0))?
Class 12 · Mathematics
→If \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) is given by \(f(x)=\sin x\), which statement about (f) is correct?
Class 12 · Mathematics
→If \(f:\mathbb{R}\to\mathbb{R}\) is given by \(f(x)=\sin x+\cos x\), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to(0,\infty)) is given by (f(x)=e^{2x+1}), what is (f^{-1}(x))?
Class 12 · Mathematics
→If (f:(0,\infty)\to\mathbb{R}) is defined by (f(x)=\ln x), what type of function is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\ln(1+x^2)), what is the range of (f)?
Class 12 · Mathematics
→If (f:\mathbb{N}\to\mathbb{N}) is given by (f(n)=n^2), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n^3), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=2n+1), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{Z}) is given by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?
Class 12 · Mathematics
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