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Class 11 · Mathematics

If (A={1,2,3}) and (B={a,b,c}), which relation is a function from (A) to (B)?

Class 11 · Mathematics

If (f:A\to B) is a function, which of the following situations is impossible?

Class 11 · Mathematics

Consider the relation (R={(1,2),(2,3),(3,4),(4,5)}) from (A={1,2,3,4}) to (B={2,3,4,5}). What is its property?

Class 11 · Mathematics

If \(f:\{1,2,3,4\}\to\{0,1\}\) is defined by \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the value of \(f(3)\)?

Class 11 · Mathematics

If (f:A\to B), (A={1,2,3}), (B={2,4,6,8}), and (f(x)=2x), what is the range of (f)?

Class 11 · Mathematics

If (A={p,q,r}) and (B={0,1}), what is the number of functions from (A) to (B)?

Class 11 · Mathematics

If (A={1,2}) and (B={x,y,z}), how many functions can be formed from (A) to (B)?

Class 11 · Mathematics

If (A={2,4,6}) and (B={1,3,5}), why is (R={(2,1),(4,3)}) not a function?

Class 11 · Mathematics

If (A={1,2,3}) and (B={a,b}), why is (R={(1,a),(1,b),(2,a),(3,b)}) not a function?

Class 11 · Mathematics

If (A={1,2,3}) and (B={4,5}), what is the correct statement about the relation (R={(1,4),(2,5),(3,4)})?

Class 11 · Mathematics

If (A={1,2}) and (B={a,b}), why is the relation (R={(1,a),(2,b)}) called a function from (A) to (B)?

Class 11 · Mathematics

Why is a function called a special form of relation?

Class 11 · Mathematics

Which option is most useful for testing whether a relation is a function?

Class 11 · Mathematics

If \(f(x)=x^2\) and its domain is \(A=\{-1,0,1\}\), which idea does this function illustrate?

Class 11 · Mathematics

If \(f(x)=|x|\) and \(A=\{-2,0,3\}\), what is the image set \(f(A)\)?

Class 11 · Mathematics

If A={2,3,4} and R={(x,y):y=x+2, x∈A}, what is R?

Class 11 · Mathematics

If R={(1,1),(2,2),(2,3)}, why is R not a function?

Class 11 · Mathematics

Which of the following is a constant function from the set A={1,2,3} to the set B={a,b}?

Class 11 · Mathematics

If A={1,2} and B={3,4}, how many functions are there from A to B?

Class 11 · Mathematics

If f(x)=y for an output y∈B, what can x be called?