GATE Electrical 2023 | GA | Question: 7

Question

 Which one of the following options represents the given graph?

• A. $f(x)=x^{2} 2^{-|x|}$
• B. $f(x)=x 2^{-|x|}$
• C. $f(x)=|x| 2^{-x}$
• D. $f(x)=x 2^{-x}$

Comments

Answer Here!   

Answer 1

 

this graph is nothing but just the concept of odd function..

a func is said odd if  on [f(x) ,+x] = +f(x)

                                        [f(x), -x] = -f(x)

:. also even fucntion form symmetry over the on the origin

 you can easily eliminate options by putting +x, and -x..

Answer 2

answer : B

f(x)=X2^|X|

ODD SYMMETRY FUNCTION