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Which functions are even? Check all of the boxes that apply.f(x)=x4+ - x2?f(x) = x2 – 3x + 2f(x) = (x-2)f(x) = |X|

User Wanjia
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1 Answer

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The condition for a function to be even is:


f(x)=f(-x)

We substitute x by -x in our options and see of we get the same original function, if we do then it is an even function.

First function:


f(x)=x^4-x^2

And for f(-x) here we have:


f(-x)=(-x)^4-(-x)^2

Even exponents always give positive results, so:


f(-x)=x^4-x^2

This is an even function.

User Adhun Thalekkara
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