7 7 votes Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$ $f(x)=x 2^{-|x|}$ $f(x)=|x| 2^{-x}$ $f(x)=x 2^{-x}$ Quantitative Aptitude gateece-2023 quantitative-aptitude functions + – admin 1.8k views answer comment Share Follow Add Sync Questions Print See 1 comment 1 1 comment reply Chaithu555 commented May 19, 2025 i moved by Arjun May 13 reply Follow flag Given graph, its symmetric over y axis at 0.We call that test for even function.i.e. f(-x) = f(x). In options the only even function is option A. 0 0 replyShare Please log in or register to add a comment.
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 cprdereddyy answered Jul 30, 2024 • moved May 13 by Arjun cprdereddyy comment Share Follow 0 reply Please log in or register to add a comment.
1 1 vote f(x) = x^2 * 2^(-|x|) hetalm01 answered Feb 5, 2024 hetalm01 comment Share Follow 0 reply Please log in or register to add a comment.
1 1 vote A Sp2002 answered Feb 5, 2024 Sp2002 comment Share Follow 0 reply Please log in or register to add a comment.
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.. Daal_bhaat_enjoyer answered Jan 8, 2025 • moved May 13 by Arjun Daal_bhaat_enjoyer comment Share Follow 0 reply Please log in or register to add a comment.