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Class 12MathematicsRelations and FunctionsOne-one functionEasy
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Let \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Which of the following functions \(f:A\to B\) is one-one?

Answer and explanation

Correct answer: \(f(1)=a,\ f(2)=b,\ f(3)=c\)

In option A, the images of 1, 2 and 3 are a, b and c, so no two inputs have the same output. Hence it is one-one. Exam tip: check for repeated outputs; a repeat rejects one-one.

Related tags

One-One FunctionInjective FunctionRelations And FunctionsClass 12 MathematicsFunction MappingOne One FunctionMathematicsClass 12 Mcq
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  1. 1Which statement is true for a one-one function?
  2. 2If (f(2)=5) and (f(3)=5), what can be said about (f)?
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  4. 4If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=7), what type of function is (f)?
  5. 5If (f:\mathbb{R}\to[0,\infty)) and (f(x)=|x|), what type of function is (f)?
  6. 6If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), what type of function is (f)?
  7. 7If (f:(0,\infty)\to\mathbb{R}) and (f(x)=\log x), which statement about (f) is correct?
  8. 8If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3x-5), what follows from (f(a)=f(b))?
  9. 9Which example proves that (f(x)=x^2+1) is not one-one on real numbers?
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