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Class 11 · Mathematics
→Which statement is correct for (R={(x,y):y=\sqrt{x},\ x\in{0,1,4,9},\ y\in{0,1,2,3}})?
Class 11 · Mathematics
→If (f:A\to B) is a function and (|A|=3), (|B|=2), how many ordered pairs will the graph of (f) contain?
Class 11 · Mathematics
→If \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) is defined by \(f(x)=x\) when \(x\) is odd and by \(f(x)=5-x\) when \(x\) is even, what is its range?
Class 11 · Mathematics
→If (R={(x,y):y=|x-2|,\ x\in{0,1,2,3,4}}), why is (R) a function?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sqrt{x^2-6x+10}), what is the range?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={a,b}), how many subsets of (A\times B) are not functions from (A) to (B)?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) has range ([3,\infty)) and (f(x)=(x-a)^2+b), which pair below is possible?
Class 11 · Mathematics
→If (R={(x,y):y=\frac{1}{x},\ x\in{-1,0,1},\ y\in\mathbb{R}}) is considered from (X={-1,0,1}) to (\mathbb{R}), what is correct?
Class 11 · Mathematics
→If A={1,2,3,4} and B={0,1}, how many functions f:A→B have at least one input with image 1?
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
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