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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=4x+7), which statement about (f) is correct?
Class 12 · Mathematics
→In a class test, a student wrote that (f(x)=x^2) is one-one on all (\mathbb{R}). Which example corrects the mistake?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{1}{3}x-4), what type is (f)?
Class 12 · Mathematics
→If (f:{a,b,c}\to{1,2,3,4}) has (f(a)=2), (f(b)=2), (f(c)=4), why is (f) not one-one?
Class 12 · Mathematics
→If (f:{1,2,3,4}\to{5,6,7,8}) has outputs respectively (8,7,6,5), what type is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=9-2x), what is the correct result for (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=(x+1)^2), which pair is a correct counterexample for one-one testing?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+2), what type is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which option is correct for (f)?
Class 12 · Mathematics
→In an arrow diagram, if two arrows arrive at the same element of the codomain, what type is the function?
Class 12 · Mathematics
→If (f:A\to B) is one-one, how many elements of (A) can map to one element of (B)?
Class 12 · Mathematics
→If (f:{-2,-1,0,1,2}\to\mathbb{R}), (f(x)=x^2), is (f) one-one?
Class 12 · Mathematics
→If (f:{0,1,2}\to{0,1,4}) is defined by (f(x)=x^2), what type is (f)?
Class 12 · Mathematics
→If (f:\mathbb{N}\to\mathbb{N}), (f(x)=3x+1), then (f) is one-one because:
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-3), what do the values (f(2)) and (f(4)) show?
Class 12 · Mathematics
→In which situation will a function (f:A\to B) definitely not be one-one?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x^2), it is not one-one because:
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x+1}{2}), what is the correct statement about (f)?
Class 12 · Mathematics
→If (A) has (6) elements and (B) has (4) elements, which statement is correct for a one-one function (A\to B)?
Class 12 · Mathematics
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