# SOLUTION: Tutor Can you help me in determining whether the function is even, odd or neither even or odd? f(x)=x-|x|

Algebra ->  -> SOLUTION: Tutor Can you help me in determining whether the function is even, odd or neither even or odd? f(x)=x-|x|      Log On

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 Click here to see ALL problems on Linear-equations Question 136391: Tutor Can you help me in determining whether the function is even, odd or neither even or odd? f(x)=x-|x|Found 2 solutions by solver91311, Nate:Answer by solver91311(18785)   (Show Source): You can put this solution on YOUR website!A function is even if for all x in the domain of f. A function is odd if for all x in the domain of f. If neither equation holds across the domain, the function is neither even nor odd. . Not even. . Not odd. Note that the graph of the function is not symmetrical about the y-axis which it would be if it were even, nor is it symmetrical about the origin which it would be if it were odd. Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!f(-x) = f(x) is even f(-x) = -f(x) is odd ~~~~~~~~~ f(x) = x - |x| f(-x) = -x - |x| and -f(x) = -x + |x| f(-x) does not equal f(x) f(-x) does not equal -f(x) Neither~