Maths-
General
Easy

Question

A function whose graph is symmetrical about the origin is given by -

  1. f left parenthesis x right parenthesis equals e to the power of x end exponent plus e to the power of negative x end exponent    
  2. f left parenthesis x right parenthesis equals s i n invisible function application left parenthesis s i n invisible function application left parenthesis c o s invisible function application left parenthesis s i n invisible function application x right parenthesis right parenthesis right parenthesis    
  3. f left parenthesis x plus y right parenthesis equals f left parenthesis x right parenthesis plus f left parenthesis y right parenthesis    
  4. s i n invisible function application x plus s i n invisible function application vertical line x vertical line    

hintHint:


The correct answer is: f left parenthesis x plus y right parenthesis equals f left parenthesis x right parenthesis plus f left parenthesis y right parenthesis


    To find the function from the given options whose graph is symmetrical about the origin.

    f(x+y)=f(x)+f(y)

    f(x) is of the form f(x)=λx where λ is a constant which represents a straight line passing through the origin, having a slope λ.

    Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.

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