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Class 11 · Mathematics
→If (R\subseteq A\times B), (A={1,2,3,4}), (B={m,n}), and (R) has exactly (4) ordered pairs, when will (R) be a function?
Class 11 · Mathematics
→If (f:\mathbb{R}-{4}\to\mathbb{R}) is given by (f(x)=\frac{x^2-16}{x-4}), which value will not belong to the range?
Class 11 · Mathematics
→If \(f:\{0,1,2,3,4\}\to\{0,1,2,3,4\}\) is defined by the remainder obtained when \(3x\) is divided by \(5\), what is the range of \(f\)?
Class 11 · Mathematics
→If A = {1, 2, 3, 4}, B = {1, 2, 3, 4}, and R = {(x, y): x − y is odd}, why is R not a function?
Class 11 · Mathematics
→Which option gives a rule that is not a valid function (f:\mathbb{N}\to\mathbb{N})?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2-4x+7), what is the range of (f)?
Class 11 · Mathematics
→If (f:{1,2,3,4,5}\to{1,2,3,4,5}) is given by (f(x)=6-x), which statement about (f^{-1}) is correct?
Class 11 · Mathematics
→If \(A=\{1,2,3,4,5,6\}\) and \(B=\{0,1\}\), how many functions from \(A\) to \(B\) have exactly 3 inputs whose image is 1?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\frac{1}{x^2+ax+4}), which condition on (a) makes it a function on all of (\mathbb{R})?
Class 11 · Mathematics
→The relation R = {(x,y): x² + y² = 4, x ∈ {-2,0,2}, y ∈ {-2,0,2}} is considered from X to Y. Why is it not a function?
Class 11 · Mathematics
→If (f:A\to B) is a function and (a_1,a_2\in A) with (a_1\ne a_2), which statement is always true?
Class 11 · Mathematics
→If (A=\emptyset) and (B={5,6}), how many ordered pairs are in the graph of the function from (A) to (B)?
Class 11 · Mathematics
→The function (f:[-2,4]\to\mathbb{R}) is given by (f(x)=|x+1|+|x-3|). What is its range?
Class 11 · Mathematics
→In which option is the relation not a function from A = {0,1,2,3} to B = {p,q,r}, even though every element of A appears as a first component?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)<f(2)) and (f(3)=f(4))?
Class 11 · Mathematics
→If (f:\mathbb{R}-{3}\to\mathbb{R}) is given by (f(x)=\frac{x^2-9}{x-3}), what is the range of (f)?
Class 11 · Mathematics
→Which statement is correct about (R={(x,y):x+y=7,\ x\in{1,2,3,4},\ y\in{3,4,5,6}})?
Class 11 · Mathematics
→If (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=\frac{n^3-n}{3}), which statement is correct?
Class 11 · Mathematics
→If (A={u,v,w,x,y}) and (B={1,2,3,4}), how many functions from (A) to (B) have range exactly ({2,4})?
Class 11 · Mathematics
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