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  • Can someone explain - Limit , continuity and differentiability - JEE Main-15

Let f(x) is an increasing function in (-\infty, \;\infty) then which of the following cant be true ?

  • Option 1)

    f(2) < f(1)

  • Option 2)

    f(3) > f(2)

  • Option 3)

    f(100)) > f(-1)

  • Option 4)

    f(9) > f(5)

 

Answers (1)

best_answer

As we have learned

Increasing function -

A function y = f(x) is called an increasing function in an interval l.

for\:\:x_{1}<x_{2}\Rightarrow f(x_{1})\leq f(x_{2})


or\:for\:\:x_{1}>x_{2}\Rightarrow f(x_{1})\geq f(x_{2})

- wherein

 

 \because f(x) is increasing , so for x_{1}< x_{2}  it is not p[ossible that f(x_{1})> f(x_{2})

 

 

 

 

 


Option 1)

f(2) < f(1)

Option 2)

f(3) > f(2)

Option 3)

f(100)) > f(-1)

Option 4)

f(9) > f(5)

Posted by

Himanshu

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