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  • Can someone help me with this, - Limit , continuity and differentiability - JEE Main-12

If f(x) is decreasing function on \mathbb R then which of the following cant be true?

  • Option 1)

    f(3) < f(1)

  • Option 2)

    f(7) < f(-1)

  • Option 3)

    f(2) > f(-1)

  • Option 4)

    f(4) < f(2)

 

Answers (1)

best_answer

As we have learned

Decreasing functions -

A function y = f(x) is called a decreasing function in an interval  l

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


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

- wherein

 

 

f(x) is decreasing , so for x_{1}< x_{2}  it is  not possible that f(x_{1})< f(x_{2})

 

 

 

 


Option 1)

f(3) < f(1)

Option 2)

f(7) < f(-1)

Option 3)

f(2) > f(-1)

Option 4)

f(4) < f(2)

Posted by

Himanshu

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