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Subjects
Class 12MathematicsRelations and FunctionsOne-one functionMedium
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If (f:A\to B) is one-one and (A) has (8) elements, how many elements are in (f(A))?

Answer and explanation

Correct answer: (8)

Step 1: In a one-one function, distinct domain elements have distinct images. Step 2: The (8) elements of (A) give (8) distinct images. Step 3: Therefore the range has as many elements as the domain.

Related tags

One-One-FunctionRangeFinite-SetOne One FunctionRelations And FunctionsMathematicsClass 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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  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)?
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  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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