how do i show f(x)=x^2 is even
Last edited by nothingness22; Oct 19th 2008 at 11:46 AM.
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Originally Posted by nothingness22 how do i show f(x)=x^2 is even $\displaystyle f(x)$ is even if $\displaystyle f(x)=f(-x)$ for every x in the domain of f.
Even functions are always symmetric to the y axis. Odd functions are always symmetric to x axis. So, f(x) = x^2 would be even, because it is symmetric to the y axis. (see pic) Additionally, the 2 in x^2 is even, which is a big hint right away.
Originally Posted by nothingness22 how do i show f(x)=x^2 is even A great way is to simply make a table of values. X Y -4 16 -3 9 -2 4 -1 1 0 0 1 1 2 4 3 9 4 16
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