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Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{|x|-2}), what should be the correct domain?
Class 11 · Mathematics
→If the function \(f:\{1,2,3,4\}\to\{1,2,3\}\) is defined by \(f(x)=\min(x,3)\), what is its range?
Class 11 · Mathematics
→If \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\begin{cases}x+2,&x<0\\x^2,&x>0\end{cases}\), why is it not a function from \(\mathbb{R}\) to \(\mathbb{R}\)?
Class 11 · Mathematics
→In which option is relation (R) a function from (A={0,1,2}) to (B={0,1,2}), but (R^{-1}) is not a function?
Class 11 · Mathematics
→If \(f:\{1,2,3,4,5,6\}\to\{0,1\}\) is defined by \(f(n)=0\) when \(n\) is divisible by \(3\), and \(f(n)=1\) otherwise, what is \(f^{-1}(\{0\})\)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={a,b,c,d}), how many functions from (A) to (B) have (f(1),f(2),f(3)) all distinct?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2+1}{x^2+2}), what is the range?
Class 11 · Mathematics
→The relation R = {(x,y): |x-y| = 1, x ∈ {1,2,3}, y ∈ {1,2,3,4}} is considered from X to Y. Why is it not a function?
Class 11 · Mathematics
→If f: {1,2,3,4} → {1,2,3,4} is given by f(x) = x² - 4x + 5, which statement is correct?
Class 11 · Mathematics
→If (R={(x,y):x=y^3,\ x\in{-8,-1,0,1,8},\ y\in{-2,-1,0,1,2}}) is considered as a relation from (X) to (Y), what is (R)?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|+|x-2|), what is the range?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={a,b}), how many functions from (A) to (B) satisfy (f(1)=a) or (f(2)=b)?
Class 11 · Mathematics
→Which option will not define a function (f:\mathbb{R}\to\mathbb{R}) on all of (\mathbb{R})?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x<1\2x-1,&x\ge1\end{cases}), which statement is correct?
Class 11 · Mathematics
→What is the range of (R={(x,y):y=\frac{x}{x-1},\ x\in{0,2,3},\ y\in\mathbb{R}})?
Class 11 · Mathematics
→If (f:A\to B) and (|A|=2), (|B|=4), what are the numbers of all relations and all functions respectively?
Class 11 · Mathematics
→If (f:[0,4]\to\mathbb{R}) is given by (f(x)=\sqrt{x}+\sqrt{4-x}), what is the maximum value of (f)?
Class 11 · Mathematics
→A relation (R\subseteq A\times B) has (A={1,2,3}) and (B={p,q}). If (R) has exactly (3) ordered pairs, when will (R) be a function?
Class 11 · Mathematics
→If (f:\mathbb{R}-{-1}\to\mathbb{R}) is given by (f(x)=\frac{x^2-1}{x+1}), which value will not belong to the range?
Class 11 · Mathematics
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