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KCET2017MathematicsProbability

Let ( f: R R ) be defined by ( f(x)=x⁴ ), then

Options

  1. A( f ) is one-one and onto
  2. B( f ) may be one-one and onto
  3. C( f ) is one-one but not onto
  4. D( f ) is neither one-one nor onto

Correct answer

D. ( f ) is neither one-one nor onto

Step-by-step solution

Given that, f: R R and f(x)=x⁴ Since, f (x₁ )=f (x₂ ) x₁= x₂ So, f(x) is not one-one function. Let y=x⁴ x= [4] y or y= [4] and [4] x R So, f(x) is not onto function.

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