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Class 12MathematicsRelations and FunctionsOne-one functionEasy
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If (f:{1,2,3,4}\to{p,q,r}) and (f={(1,p),(2,q),(3,r),(4,p)}), what type of function is (f)?

Answer and explanation

Correct answer: Not one-one

Step 1: Here (1) and (4) are different domain elements. Step 2: Both have image (p), so repetition occurs. Step 3: Repetition of an image is not allowed in a one-one function.

Related tags

One-One-FunctionFinite-SetNot-One-OneOne One FunctionRelations And FunctionsMathematicsClass 12 Mcq
सुधार सुझाएँ / Earn

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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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  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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