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Class 11 · Mathematics · Expert
→If (f:A\to B) is a function and (C\subseteq A), which statement about (f(C)) is always true?
Class 11 · Mathematics · Expert
→If (A=\emptyset) and (B=\emptyset), what are respectively the number of functions from (A) to (B) and the number of ordered pairs in the graph of that function?
Class 11 · Mathematics · Expert
→The function (f:[-3,5]\to\mathbb{R}) is given by (f(x)=|x+2|+|x-4|). What is its range?
Class 11 · Mathematics · Medium
→In which option is the relation not a function from A = {1,2,3,4,5} to B = {p,q,r}, even though every element of A appears as a first component?
Class 11 · Mathematics · Expert
→If (A={1,2,3,4,5}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)\le f(2)<f(3)) and (f(4)=f(5))?
Class 11 · Mathematics · Expert
→If (f:\mathbb{R}-{-2}\to\mathbb{R}) is given by (f(x)=\frac{x^2+4x+4}{x+2}), what is the range of (f)?
Class 11 · Mathematics · Expert
→Which statement is correct about (R={(x,y):2x+y=12,\ x\in{1,2,3,4},\ y\in{4,6,8,10}})?
Class 11 · Mathematics · Expert
→If (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=\frac{n^5-n}{5}), which statement is correct?
Class 11 · Mathematics · Hard
→If A = {r, s, t, u} and B = {1, 2, 3, 4}, how many functions from A to B have range exactly {1, 3, 4}?
Class 11 · Mathematics · Expert
→A function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{a x^2-6a+9}). Which condition on (a) is necessary and sufficient for it to be a function on all of (\mathbb{R})?
Class 11 · Mathematics · Hard
→The relation R = {(x,y): y² = x − 1, x ∈ {2,5,10}, y ∈ {−3,−2,−1,1,2,3}} is considered from X = {2,5,10} to Y = {−3,−2,−1,1,2,3}. What is the correct conclusion?
Class 11 · Mathematics · Expert
→If (A={1,2,3,4,5,6}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)), (f(3)=f(4)), and (f(5)\ne f(6))?
Class 12 · Accountancy · Easy
→What happens to the partnership relationship among the partners after the dissolution of the partnership firm?
Class 11 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x-1,&x\le3\x+2,&x\ge3\end{cases}), which statement is correct?
Class 11 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+3,&x\le1\x^2+1,&x\ge1\end{cases}), why is it not a function?
Class 11 · Mathematics · Expert
→Which statement is correct for (R={(x,y):y=\sqrt{x-1},\ x\in{1,2,5,10},\ y\in{0,1,2,3}})?
Class 11 · Mathematics · Expert
→If (f:A\to B) is a function and (|A|=6), (|B|=4), how many ordered pairs will the graph of (f) contain?
Class 11 · Mathematics · Expert
→If (f:{1,2,3,4,5}\to{1,2,3,4,5}) is given by (f(x)=x) when (x) is prime and (f(x)=6-x) otherwise, what is the range?
Class 11 · Mathematics · Expert
→If (R={(x,y):y=|2x-3|,\ x\in{0,1,2,3}}), why is (R) a function?
Class 11 · Mathematics · Expert
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