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Which one of the following options represents the given graph?

 

  1. $f(x)=x^{2} 2^{-|x|}$
  2. $f(x)=x 2^{-|x|}$
  3. $f(x)=|x| 2^{-x}$
  4. $f(x)=x 2^{-x}$

4 Answers

3 3 votes
f(x) should be positive and equal for all the values of x.

only A will remain remian same if -x and +x is substituted
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1 1 vote
this graph is nothing but just the concept of even function..

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

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

:. also even fucntion form symmetry over the y- axis.

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

 

 
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