One-One function or injective function shortcut trick for CBSE / JEE MAIN + ADVANCED /WBJEE/WBCHSE/CLASS 12TH in pdf

MATH TRICKS : ONE-ONE OR INJECTIVE FUNCTION FIND IN JUST TWO SEC FOR JEE MAIN/IIT JEE/CBSE/WBJEE/BITSAT/NDA/CLASS 12TH

 

–  A function is said to be an one-one or injective function , if that the function is strictly increasing .

ie. 

     a function f(x) , now  f(x) is said to be an one-one if derivative of that function greater or equal zero(0) .

Ex. Check whether  f (x) =x3  is one-one function or not ?

Ans:  

              Given , f(x) = x3 , now taking derivative w.r.t x

                   get,

      f(x) = 3x2 ≥ 0 ∀ x ∈R then f (x) is strictly increasing function hence f(x) is one-one function .

Q . Check whether  f (x)  is one-one function or not ?

(i) f(x) = x+sinx

(ii) f(x) = x3 +x2 + 4x + 4

(iii) f (x) = ex

This is the very simple method to find one-one or injective function for wbjee math tricks , jee main math tricks , jee advanced math tricks ……

MATHS TRICKS-ONE-ONE FUNCTION IN PDF CLICK ON THIS LINK




 

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