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Which of the following nature of functions will be of one - one function ?

  • Option 1)

    non - decreasing function

  • Option 2)

    non - increasing function

  • Option 3)

    constant function

  • Option 4)

    increasing function

 

Answers (1)

best_answer

As we learned 

 

proof of one-one -

Increasing or decreasing

i.e. Monotonous

- wherein

\frac{dy}{dx}> 0

or   \frac{dy}{dx}< 0

in the domain.

 

   for \: (A) \: \: \:;\: \: {f}'\left ( x \right )\geqslant 0

 

for \: (B) \: \: \:;\: \: {f}'\left ( x \right )\leqslant 0

for \: (C) \: \: \:;\: \: {f}'\left ( x \right )= 0

But ,  for \: (D) \: \: \:;\: \: {f}'\left ( x \right )> 0

Thus increasing function is a one one function.

 

 


Option 1)

non - decreasing function

Option 2)

non - increasing function

Option 3)

constant function

Option 4)

increasing function

Posted by

Himanshu

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