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  • Solve it, Which of the following functions are one - one functions ?

Which of the following functions are one - one functions ? 

  • Option 1)

    f(x)=x^{2}

     

     

     

  • Option 2)

    f(x)=x^{4}

  • Option 3)

    f(x)=\cos x

  • Option 4)

    f(x)=\sqrt{x}

 

Answers (1)

best_answer

As we learned 

 

One - One or Injective function -

A function in which every element of range of function corresponds to exactly one elements.

- wherein

A line parallel to x - axis cut the curve at most one point.

 

 

Clearly, this function is one - one function. 

 


Option 1)

f(x)=x^{2}

 

 

 

Option 2)

f(x)=x^{4}

Option 3)

f(x)=\cos x

Option 4)

f(x)=\sqrt{x}

Posted by

Himanshu

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