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Class 11 · Mathematics
→If (f:A\to B) is a function and (|A|=7), (|B|=3), how many ordered pairs will the graph of (f) contain?
Class 11 · Mathematics
→If (f:{1,2,3,4,5,6}\to{1,2,3,4,5,6}) is given by (f(x)=x) when (x) is even and (f(x)=7-x) when (x) is odd, what is the range?
Class 11 · Mathematics
→If (R={(x,y):y=|3x-2|,\ x\in{-1,0,1,2}}), why is (R) a function?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sqrt{x^2-10x+29}), what is the range?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={a,b,c,d}), how many subsets of (A\times B) are not functions from (A) to (B)?
Class 11 · Mathematics
→If (f:mathbb{R} omathbb{R}) has range ([5,infty)) and (f(x)=a(x-2)^2+b), where (a>0), which of the following pairs is possible?
Class 11 · Mathematics
→If (R={(x,y):y=\frac{3}{x+2},\ x\in{-3,-2,-1},\ y\in\mathbb{R}}) is considered from (X={-3,-2,-1}) to (\mathbb{R}), what is correct?
Class 11 · Mathematics
→If (A={1,2,3,4,5,6}) and (B={0,1}), how many functions (f:A\to B) have at least (3) inputs with image (1)?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{1}{|2x-1|-5}), what should be the correct domain?
Class 11 · Mathematics
→If (f:{0,1,2,3,4,5}\to{1,2,3,4}) is given by (f(x)=\max(1,5-x)), what is the range?
Class 11 · Mathematics
→If f: ℝ → ℝ is defined by f(x) = x² + 1 for x ≤ −1 and f(x) = 2 − x for x > −1, what is f(−1)?
Class 11 · Mathematics
→In which option is (R) a function from (A={1,2,3,4}) to (B={5,6,7,8}), but (R^{-1}) is not a function?
Class 11 · Mathematics
→If the function \(f:\{1,2,3,4,5,6,7,8,9\}\to\{0,1\}\) is defined by \(f(n)=1\) when \(n\) is divisible by \(3\), and \(f(n)=0\) otherwise, what is \(f^{-1}(\{1\})\)?
Class 11 · Mathematics
→If \(A=\{1,2,3,4,5\}\) and \(B=\{a,b,c,d,e,f\}\), how many functions from \(A\) to \(B\) have distinct images for all five elements of \(A\)?
Class 11 · Mathematics
→If f: ℝ → ℝ is given by f(x) = (x² + 9)/(x² + 3), what is the range?
Class 11 · Mathematics
→The relation (R={(x,y):|x-2y|=2,\ x\in{0,2,4},\ y\in{-1,0,1,2,3}}) is considered from the given domain to codomain. Why is it not a function?
Class 11 · Mathematics
→If (f:{0,1,2,3,4}\to{0,1,2,3,4}) is given by (f(x)=x^2-3x+2), is (f) a valid function?
Class 11 · Mathematics
→If (R={(x,y):x=y^7,\ x\in{-128,-1,0,1,128},\ y\in{-2,-1,0,1,2}}), which statement about (R) is correct?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x+5|+|x-2|), what is the range?
Class 11 · Mathematics
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