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Class 11 · Mathematics · Medium
→If (f:\mathbb{R}\setminus{-3}\to\mathbb{R}) and (f(x)=\frac{1}{x+3}), why is it a function?
Class 11 · Mathematics · Medium
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{1}{x+3}), why is it not a function on all of (\mathbb{R})?
Class 11 · Mathematics · Medium
→If one tries to define (f:\mathbb{R}\to\mathbb{R}) by (f(x)=\sqrt{x-1}), why is it not a function on all of (\mathbb{R})?
Class 11 · Mathematics · Medium
→If (f={(1,p),(2,p),(3,q)}), why is the reversed relation ({(p,1),(p,2),(q,3)}) not a function?
Class 11 · Mathematics · Medium
→If (f={(1,3),(2,5),(3,7)}), why is the reversed relation ({(3,1),(5,2),(7,3)}) a function?
Class 11 · Mathematics · Medium
→If (R={(1,a),(2,b),(2,c),(3,a)}), which pair is sufficient to remove to make it a function?
Class 11 · Mathematics · Medium
→If (A={1,2,3,4}), (B={0,1}), and (R={(1,0),(2,1),(4,0)}), which pair can be added to make (R) a function?
Class 11 · Mathematics · Medium
→If (f={(1,4),(2,4),(3,5),(4,6)}), what is the range of (f)?
Class 11 · Mathematics · Medium
→If \(f=\{(2,1),(4,2),(6,3),(8,4)\}\), what is the domain of \(f\)?
Class 11 · Mathematics · Medium
→If (f:{0,1,2,3}\to{3,4,5,6}) is defined by (f(x)=x+3), what is the range of (f)?
Class 11 · Mathematics · Medium
→If (A={1,2,3}) and (B={a,b,c,d}), how many relations are there from (A) to (B)?
Class 11 · Mathematics · Medium
→If (A={1,2,3,4}) and (B={x,y,z}), how many constant functions are there from (A) to (B)?
Class 11 · Mathematics · Medium
→If (A={r,s,t}) and (B={0,1,2,3}), what is the total number of functions from (A) to (B)?
Class 11 · Mathematics · Medium
→If A={1,2,3}, B={5,6,7}, and R={(1,5),(2,6),(2,7),(3,5)}, which element breaks the function condition?
Class 11 · Mathematics · Medium
→If (A={1,2,3,4}), (B={p,q}), and (R={(1,p),(2,q),(4,p)}), why is (R) not a function?
Class 11 · Mathematics · Medium
→If (A={1,2,3,4}) and (B={a,b,c}), what is the correct statement about the relation (R={(1,a),(2,b),(3,c),(4,a)})?
Class 11 · Mathematics · Medium
→If (A={1,2,3,4}), (B={5,6}), and (R={(1,5),(2,6),(4,5)}), which pair can be added to make (R) a function from (A) to (B)?
Class 11 · Mathematics · Medium
→If (A={1,2,3}) and (B={0,1}), how many independent choices are there for each domain element while choosing a function from (A) to (B)?
Class 11 · Mathematics · Medium
→If (A={1,2,3}), (B={3,6,9,12}), and (f(x)=3x), what is true about (12)?
Class 11 · Mathematics · Medium
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